library(mice)
library(dplyr)
library(ggplot2)
# Read in raw data
raw=read.csv('data/Ames_Housing_Price_Data.csv')[,-1]
summary(raw)
      PID              GrLivArea      SalePrice        MSSubClass       MSZoning          LotFrontage        LotArea      
 Min.   :5.263e+08   Min.   : 334   Min.   : 12789   Min.   : 20.00   Length:2580        Min.   : 21.00   Min.   :  1300  
 1st Qu.:5.314e+08   1st Qu.:1112   1st Qu.:129975   1st Qu.: 20.00   Class :character   1st Qu.: 57.00   1st Qu.:  7407  
 Median :5.355e+08   Median :1436   Median :159900   Median : 50.00   Mode  :character   Median : 68.00   Median :  9391  
 Mean   :7.148e+08   Mean   :1486   Mean   :178060   Mean   : 57.69                      Mean   : 68.52   Mean   : 10120  
 3rd Qu.:9.072e+08   3rd Qu.:1733   3rd Qu.:209625   3rd Qu.: 70.00                      3rd Qu.: 80.00   3rd Qu.: 11494  
 Max.   :1.007e+09   Max.   :4676   Max.   :755000   Max.   :190.00                      Max.   :313.00   Max.   :215245  
                                                                                         NA's   :462                      
    Street             Alley             LotShape         LandContour         Utilities          LotConfig          LandSlope        
 Length:2580        Length:2580        Length:2580        Length:2580        Length:2580        Length:2580        Length:2580       
 Class :character   Class :character   Class :character   Class :character   Class :character   Class :character   Class :character  
 Mode  :character   Mode  :character   Mode  :character   Mode  :character   Mode  :character   Mode  :character   Mode  :character  
                                                                                                                                     
                                                                                                                                     
                                                                                                                                     
                                                                                                                                     
 Neighborhood        Condition1         Condition2          BldgType          HouseStyle         OverallQual      OverallCond   
 Length:2580        Length:2580        Length:2580        Length:2580        Length:2580        Min.   : 1.000   Min.   :1.000  
 Class :character   Class :character   Class :character   Class :character   Class :character   1st Qu.: 5.000   1st Qu.:5.000  
 Mode  :character   Mode  :character   Mode  :character   Mode  :character   Mode  :character   Median : 6.000   Median :5.000  
                                                                                                Mean   : 6.046   Mean   :5.619  
                                                                                                3rd Qu.: 7.000   3rd Qu.:6.000  
                                                                                                Max.   :10.000   Max.   :9.000  
                                                                                                                                
   YearBuilt     YearRemodAdd   RoofStyle           RoofMatl         Exterior1st        Exterior2nd         MasVnrType       
 Min.   :1872   Min.   :1950   Length:2580        Length:2580        Length:2580        Length:2580        Length:2580       
 1st Qu.:1953   1st Qu.:1965   Class :character   Class :character   Class :character   Class :character   Class :character  
 Median :1972   Median :1992   Mode  :character   Mode  :character   Mode  :character   Mode  :character   Mode  :character  
 Mean   :1970   Mean   :1984                                                                                                 
 3rd Qu.:1999   3rd Qu.:2003                                                                                                 
 Max.   :2010   Max.   :2010                                                                                                 
                                                                                                                             
   MasVnrArea       ExterQual          ExterCond          Foundation          BsmtQual           BsmtCond         BsmtExposure      
 Min.   :   0.00   Length:2580        Length:2580        Length:2580        Length:2580        Length:2580        Length:2580       
 1st Qu.:   0.00   Class :character   Class :character   Class :character   Class :character   Class :character   Class :character  
 Median :   0.00   Mode  :character   Mode  :character   Mode  :character   Mode  :character   Mode  :character   Mode  :character  
 Mean   :  99.31                                                                                                                    
 3rd Qu.: 158.00                                                                                                                    
 Max.   :1600.00                                                                                                                    
 NA's   :14                                                                                                                         
 BsmtFinType1         BsmtFinSF1     BsmtFinType2         BsmtFinSF2        BsmtUnfSF       TotalBsmtSF     Heating         
 Length:2580        Min.   :   0.0   Length:2580        Min.   :   0.00   Min.   :   0.0   Min.   :   0   Length:2580       
 Class :character   1st Qu.:   0.0   Class :character   1st Qu.:   0.00   1st Qu.: 215.0   1st Qu.: 792   Class :character  
 Mode  :character   Median : 384.0   Mode  :character   Median :   0.00   Median : 448.0   Median : 979   Mode  :character  
                    Mean   : 444.3                      Mean   :  53.24   Mean   : 539.1   Mean   :1037                     
                    3rd Qu.: 732.0                      3rd Qu.:   0.00   3rd Qu.: 784.0   3rd Qu.:1266                     
                    Max.   :2288.0                      Max.   :1526.00   Max.   :2336.0   Max.   :3206                     
                    NA's   :1                           NA's   :1         NA's   :1        NA's   :1                        
  HeatingQC          CentralAir         Electrical          X1stFlrSF        X2ndFlrSF       LowQualFinSF       BsmtFullBath   
 Length:2580        Length:2580        Length:2580        Min.   : 334.0   Min.   :   0.0   Min.   :   0.000   Min.   :0.0000  
 Class :character   Class :character   Class :character   1st Qu.: 871.8   1st Qu.:   0.0   1st Qu.:   0.000   1st Qu.:0.0000  
 Mode  :character   Mode  :character   Mode  :character   Median :1071.0   Median :   0.0   Median :   0.000   Median :0.0000  
                                                          Mean   :1145.0   Mean   : 336.8   Mean   :   4.245   Mean   :0.4352  
                                                          3rd Qu.:1364.0   3rd Qu.: 703.0   3rd Qu.:   0.000   3rd Qu.:1.0000  
                                                          Max.   :3820.0   Max.   :1872.0   Max.   :1064.000   Max.   :3.0000  
                                                                                                               NA's   :2       
  BsmtHalfBath        FullBath        HalfBath       BedroomAbvGr   KitchenAbvGr  KitchenQual         TotRmsAbvGrd     Functional       
 Min.   :0.00000   Min.   :0.000   Min.   :0.0000   Min.   :0.00   Min.   :0.00   Length:2580        Min.   : 2.000   Length:2580       
 1st Qu.:0.00000   1st Qu.:1.000   1st Qu.:0.0000   1st Qu.:2.00   1st Qu.:1.00   Class :character   1st Qu.: 5.000   Class :character  
 Median :0.00000   Median :2.000   Median :0.0000   Median :3.00   Median :1.00   Mode  :character   Median : 6.000   Mode  :character  
 Mean   :0.06206   Mean   :1.551   Mean   :0.3783   Mean   :2.85   Mean   :1.04                      Mean   : 6.387                     
 3rd Qu.:0.00000   3rd Qu.:2.000   3rd Qu.:1.0000   3rd Qu.:3.00   3rd Qu.:1.00                      3rd Qu.: 7.000                     
 Max.   :2.00000   Max.   :4.000   Max.   :2.0000   Max.   :6.00   Max.   :3.00                      Max.   :13.000                     
 NA's   :2                                                                                                                              
   Fireplaces     FireplaceQu         GarageType         GarageYrBlt   GarageFinish         GarageCars      GarageArea    
 Min.   :0.0000   Length:2580        Length:2580        Min.   :1895   Length:2580        Min.   :0.000   Min.   :   0.0  
 1st Qu.:0.0000   Class :character   Class :character   1st Qu.:1960   Class :character   1st Qu.:1.000   1st Qu.: 318.0  
 Median :1.0000   Mode  :character   Mode  :character   Median :1978   Mode  :character   Median :2.000   Median : 474.0  
 Mean   :0.6043                                         Mean   :1977                      Mean   :1.748   Mean   : 466.8  
 3rd Qu.:1.0000                                         3rd Qu.:2000                      3rd Qu.:2.000   3rd Qu.: 576.0  
 Max.   :4.0000                                         Max.   :2010                      Max.   :5.000   Max.   :1488.0  
                                                        NA's   :129                       NA's   :1       NA's   :1       
  GarageQual         GarageCond         PavedDrive          WoodDeckSF       OpenPorchSF     EnclosedPorch       X3SsnPorch     
 Length:2580        Length:2580        Length:2580        Min.   :   0.00   Min.   :  0.00   Min.   :   0.00   Min.   :  0.000  
 Class :character   Class :character   Class :character   1st Qu.:   0.00   1st Qu.:  0.00   1st Qu.:   0.00   1st Qu.:  0.000  
 Mode  :character   Mode  :character   Mode  :character   Median :   0.00   Median : 25.50   Median :   0.00   Median :  0.000  
                                                          Mean   :  95.92   Mean   : 46.09   Mean   :  23.21   Mean   :  2.511  
                                                          3rd Qu.: 168.00   3rd Qu.: 68.00   3rd Qu.:   0.00   3rd Qu.:  0.000  
                                                          Max.   :1424.00   Max.   :742.00   Max.   :1012.00   Max.   :508.000  
                                                                                                                                
  ScreenPorch       PoolArea          PoolQC             Fence           MiscFeature           MiscVal             MoSold      
 Min.   :  0.0   Min.   :  0.000   Length:2580        Length:2580        Length:2580        Min.   :    0.00   Min.   : 1.000  
 1st Qu.:  0.0   1st Qu.:  0.000   Class :character   Class :character   Class :character   1st Qu.:    0.00   1st Qu.: 4.000  
 Median :  0.0   Median :  0.000   Mode  :character   Mode  :character   Mode  :character   Median :    0.00   Median : 6.000  
 Mean   : 16.2   Mean   :  1.662                                                            Mean   :   48.73   Mean   : 6.151  
 3rd Qu.:  0.0   3rd Qu.:  0.000                                                            3rd Qu.:    0.00   3rd Qu.: 8.000  
 Max.   :576.0   Max.   :800.000                                                            Max.   :15500.00   Max.   :12.000  
                                                                                                                               
     YrSold       SaleType         SaleCondition     
 Min.   :2006   Length:2580        Length:2580       
 1st Qu.:2007   Class :character   Class :character  
 Median :2008   Mode  :character   Mode  :character  
 Mean   :2008                                        
 3rd Qu.:2009                                        
 Max.   :2010                                        
                                                     
head(raw)
# Read in categorical variables as empty strings instead of NA
unique(raw$FireplaceQu)
[1] "Gd" ""   "Ex" "TA" "Fa" "Po"
# Change to NA
raw[raw=='']=NA
# Remove Misc Features
rawd = select(raw,-MiscFeature)
Error in select(raw, -MiscFeature) : unused argument (-MiscFeature)
mice::md.pattern(rawd, rotate.names=TRUE)
    PID GrLivArea SalePrice MSSubClass MSZoning LotArea Street LotShape LandContour Utilities LotConfig
9     1         1         1          1        1       1      1        1           1         1         1
5     1         1         1          1        1       1      1        1           1         1         1
180   1         1         1          1        1       1      1        1           1         1         1
34    1         1         1          1        1       1      1        1           1         1         1
3     1         1         1          1        1       1      1        1           1         1         1
778   1         1         1          1        1       1      1        1           1         1         1
15    1         1         1          1        1       1      1        1           1         1         1
197   1         1         1          1        1       1      1        1           1         1         1
80    1         1         1          1        1       1      1        1           1         1         1
640   1         1         1          1        1       1      1        1           1         1         1
1     1         1         1          1        1       1      1        1           1         1         1
48    1         1         1          1        1       1      1        1           1         1         1
    LandSlope Neighborhood Condition1 Condition2 BldgType HouseStyle OverallQual OverallCond YearBuilt
9           1            1          1          1        1          1           1           1         1
5           1            1          1          1        1          1           1           1         1
180         1            1          1          1        1          1           1           1         1
34          1            1          1          1        1          1           1           1         1
3           1            1          1          1        1          1           1           1         1
778         1            1          1          1        1          1           1           1         1
15          1            1          1          1        1          1           1           1         1
197         1            1          1          1        1          1           1           1         1
80          1            1          1          1        1          1           1           1         1
640         1            1          1          1        1          1           1           1         1
1           1            1          1          1        1          1           1           1         1
48          1            1          1          1        1          1           1           1         1
    YearRemodAdd RoofStyle RoofMatl Exterior1st Exterior2nd ExterQual ExterCond Foundation Heating HeatingQC
9              1         1        1           1           1         1         1          1       1         1
5              1         1        1           1           1         1         1          1       1         1
180            1         1        1           1           1         1         1          1       1         1
34             1         1        1           1           1         1         1          1       1         1
3              1         1        1           1           1         1         1          1       1         1
778            1         1        1           1           1         1         1          1       1         1
15             1         1        1           1           1         1         1          1       1         1
197            1         1        1           1           1         1         1          1       1         1
80             1         1        1           1           1         1         1          1       1         1
640            1         1        1           1           1         1         1          1       1         1
1              1         1        1           1           1         1         1          1       1         1
48             1         1        1           1           1         1         1          1       1         1
    CentralAir X1stFlrSF X2ndFlrSF LowQualFinSF FullBath HalfBath BedroomAbvGr KitchenAbvGr KitchenQual
9            1         1         1            1        1        1            1            1           1
5            1         1         1            1        1        1            1            1           1
180          1         1         1            1        1        1            1            1           1
34           1         1         1            1        1        1            1            1           1
3            1         1         1            1        1        1            1            1           1
778          1         1         1            1        1        1            1            1           1
15           1         1         1            1        1        1            1            1           1
197          1         1         1            1        1        1            1            1           1
80           1         1         1            1        1        1            1            1           1
640          1         1         1            1        1        1            1            1           1
1            1         1         1            1        1        1            1            1           1
48           1         1         1            1        1        1            1            1           1
    TotRmsAbvGrd Functional Fireplaces PavedDrive WoodDeckSF OpenPorchSF EnclosedPorch X3SsnPorch ScreenPorch
9              1          1          1          1          1           1             1          1           1
5              1          1          1          1          1           1             1          1           1
180            1          1          1          1          1           1             1          1           1
34             1          1          1          1          1           1             1          1           1
3              1          1          1          1          1           1             1          1           1
778            1          1          1          1          1           1             1          1           1
15             1          1          1          1          1           1             1          1           1
197            1          1          1          1          1           1             1          1           1
80             1          1          1          1          1           1             1          1           1
640            1          1          1          1          1           1             1          1           1
1              1          1          1          1          1           1             1          1           1
48             1          1          1          1          1           1             1          1           1
    PoolArea MiscVal MoSold YrSold SaleType SaleCondition BsmtFinSF1 BsmtFinSF2 BsmtUnfSF TotalBsmtSF
9          1       1      1      1        1             1          1          1         1           1
5          1       1      1      1        1             1          1          1         1           1
180        1       1      1      1        1             1          1          1         1           1
34         1       1      1      1        1             1          1          1         1           1
3          1       1      1      1        1             1          1          1         1           1
778        1       1      1      1        1             1          1          1         1           1
15         1       1      1      1        1             1          1          1         1           1
197        1       1      1      1        1             1          1          1         1           1
80         1       1      1      1        1             1          1          1         1           1
640        1       1      1      1        1             1          1          1         1           1
1          1       1      1      1        1             1          1          1         1           1
48         1       1      1      1        1             1          1          1         1           1
    Electrical GarageCars GarageArea BsmtFullBath BsmtHalfBath MasVnrType MasVnrArea BsmtQual BsmtCond
9            1          1          1            1            1          1          1        1        1
5            1          1          1            1            1          1          1        1        1
180          1          1          1            1            1          1          1        1        1
34           1          1          1            1            1          1          1        1        1
3            1          1          1            1            1          1          1        1        1
778          1          1          1            1            1          1          1        1        1
15           1          1          1            1            1          1          1        1        1
197          1          1          1            1            1          1          1        1        1
80           1          1          1            1            1          1          1        1        1
640          1          1          1            1            1          1          1        1        1
1            1          1          1            1            1          1          1        1        1
48           1          1          1            1            1          1          1        1        1
    BsmtFinType1 BsmtFinType2 BsmtExposure GarageType GarageYrBlt GarageFinish GarageQual GarageCond
9              1            1            1          1           1            1          1          1
5              1            1            1          1           1            1          1          1
180            1            1            1          1           1            1          1          1
34             1            1            1          1           1            1          1          1
3              1            1            1          1           1            1          1          1
778            1            1            1          1           1            1          1          1
15             1            1            1          1           1            1          1          1
197            1            1            1          1           1            1          1          1
80             1            1            1          1           1            1          1          1
640            1            1            1          1           1            1          1          1
1              1            1            1          1           1            1          1          1
48             1            1            1          1           1            1          1          1
    LotFrontage FireplaceQu Fence Alley PoolQC     
9             1           1     1     1      0    1
5             1           1     1     0      1    1
180           1           1     1     0      0    2
34            1           1     0     1      0    2
3             1           1     0     0      1    2
778           1           1     0     0      0    3
15            1           0     1     1      0    2
197           1           0     1     0      0    3
80            1           0     0     1      0    3
640           1           0     0     0      0    4
1             0           1     1     1      0    2
48            0           1     1     0      0    3
 [ reached getOption("max.print") -- omitted 42 rows ]

# log trasform Target and GrLivArea
raw_tlog = raw
raw_tlog[, 3] = log(raw[3], 2)
raw_tlog$GrLivArea = log(raw$GrLivArea)

Mapping different categorical variables to Saleprice to GrLivArea

raw_tlog%>% 
  ggplot(aes(x=GrLivArea, y=SalePrice)) +
  geom_point(aes(color = HouseStyle ))

Exploring Aikos question

(10^2.085)
10^1.47067899

Trying stepwise AIC, BIC

df=read.csv('data/cleanforRd.csv')
#summary(df)
head(df)
library(corrplot)
cor_mat = cor(df)
corrplot(cor_mat, method="circle", type="lower")
# Creating a saturated model (i.e., with all variables included).
model.saturated = lm(SalePrice ~ ., data = df)
summary(model.saturated)
library(car)
vif(model.saturated)
model.empty = lm(SalePrice ~ 1, data = df) #The model with an intercept ONLY.
scope = list(lower = formula(model.empty), upper = formula(model.saturated))

backwardAIC = step(model.saturated, scope, direction = "backward", k = 2)
# Step:  AIC=-28.16
# Life.Exp ~ Population + Murder + HS.Grad + Frost
forwardAIC = step(model.empty, scope, direction = "forward", k = 2)
plot(forwardAIC)
backwardBIC = step(model.saturated, scope, direction = "backward", k = log(50))
forwardBIC = step(model.empty, scope, direction = "forward", k = log(50))
Start:  AIC=46192.58
SalePrice ~ 1

                      Df  Sum of Sq        RSS   AIC
+ GrLivArea            1 5.6865e+12 5.3405e+12 44702
+ ExterQual            1 5.2306e+12 5.7964e+12 44870
+ KitchenQual          1 4.9018e+12 6.1252e+12 44984
+ TotalBsmtSF          1 4.6530e+12 6.3740e+12 45066
+ GarageCars           1 4.6512e+12 6.3758e+12 45067
+ GarageArea           1 4.5374e+12 6.4896e+12 45103
+ X1stFlrSF            1 4.5252e+12 6.5018e+12 45107
+ BsmtQual             1 3.7853e+12 7.2417e+12 45329
+ HouseAge             1 3.3123e+12 7.7147e+12 45460
+ FullBath             1 3.2677e+12 7.7593e+12 45472
+ FireplaceQu          1 3.1269e+12 7.9001e+12 45509
+ RemodelAge           1 3.0533e+12 7.9737e+12 45528
+ GarageYrBlt          1 2.8925e+12 8.1345e+12 45569
+ Neighborhood_Tier_3  1 2.8140e+12 8.2130e+12 45589
+ Foundation_2         1 2.7780e+12 8.2490e+12 45598
+ Fireplaces           1 2.7448e+12 8.2822e+12 45606
+ MasVnrArea           1 2.4864e+12 8.5406e+12 45670
+ TotRmsAbvGrd         1 2.4528e+12 8.5742e+12 45678
+ GarageType_2         1 2.4430e+12 8.5840e+12 45680
+ BsmtFinSF1           1 2.3572e+12 8.6698e+12 45701
+ HeatingQC            1 2.2650e+12 8.7621e+12 45722
+ GarageFinish_2       1 1.9082e+12 9.1188e+12 45805
+ BsmtFinType1_3       1 1.7351e+12 9.2920e+12 45843
+ MasVnrType_None      1 1.6153e+12 9.4117e+12 45870
+ LotFrontage          1 1.3338e+12 9.6932e+12 45931
+ Exterior1st_VinylSd  1 1.2558e+12 9.7712e+12 45947
+ MSZoning_2           1 1.2130e+12 9.8140e+12 45956
+ WoodDeckSF           1 1.1513e+12 9.8757e+12 45969
+ BsmtFullBath         1 1.0655e+12 9.9615e+12 45987
+ OpenPorchSF          1 1.0067e+12 1.0020e+13 45999
+ LotShape_2           1 9.8430e+11 1.0043e+13 46004
+ HalfBath             1 8.1059e+11 1.0216e+13 46039
+ LotArea              1 8.0483e+11 1.0222e+13 46040
+ CentralAir_Y         1 7.9860e+11 1.0228e+13 46041
+ MasVnrType_Stone     1 7.9538e+11 1.0232e+13 46042
+ GarageQual           1 7.8665e+11 1.0240e+13 46044
+ PavedDrive_2         1 7.5717e+11 1.0270e+13 46050
+ MasVnrType_BrkFace   1 7.5527e+11 1.0272e+13 46050
+ GarageCond           1 6.8811e+11 1.0339e+13 46064
+ Electrical_2         1 6.8224e+11 1.0345e+13 46065
+ X2ndFlrSF            1 6.7777e+11 1.0349e+13 46066
+ BsmtExposure_3       1 6.7616e+11 1.0351e+13 46066
+ SaleCondition_2      1 5.8129e+11 1.0446e+13 46085
+ BsmtCond             1 4.6342e+11 1.0564e+13 46108
+ HouseStyle_2         1 4.3479e+11 1.0592e+13 46114
+ BldgType_3           1 3.6503e+11 1.0662e+13 46127
+ Exterior1st_Wd.Sdng  1 3.2715e+11 1.0700e+13 46134
+ BsmtUnfSF            1 2.8845e+11 1.0739e+13 46142
+ Exterior1st_MetalSd  1 2.8294e+11 1.0744e+13 46143
+ BsmtFinType1_2       1 2.6145e+11 1.0766e+13 46147
+ BedroomAbvGr         1 2.4764e+11 1.0779e+13 46150
+ BsmtExposure_2       1 2.4453e+11 1.0782e+13 46150
+ Exterior1st_CemntBd  1 1.7768e+11 1.0849e+13 46163
+ KitchenAbvGr         1 1.5627e+11 1.0871e+13 46167
+ ScreenPorch          1 1.4986e+11 1.0877e+13 46168
+ EnclosedPorch        1 1.4041e+11 1.0887e+13 46170
+ PoolQC               1 1.2779e+11 1.0899e+13 46172
+ Exterior1st_HdBoard  1 1.2537e+11 1.0902e+13 46173
+ Functional_2         1 1.0414e+11 1.0923e+13 46177
+ Condition1_2         1 9.9634e+10 1.0927e+13 46178
+ MSSubClass           1 9.6895e+10 1.0930e+13 46178
+ Neighborhood_Tier_2  1 9.3543e+10 1.0933e+13 46179
+ LandSlope_2          1 7.1902e+10 1.0955e+13 46183
+ HouseStyle_3         1 6.0849e+10 1.0966e+13 46185
+ BsmtHalfBath         1 3.1207e+10 1.0996e+13 46191
+ PoolArea             1 2.4877e+10 1.1002e+13 46192
+ Street_Pave          1 2.3114e+10 1.1004e+13 46192
<none>                              1.1027e+13 46193
+ X3SsnPorch           1 1.9550e+10 1.1007e+13 46193
+ Exterior1st_WdShing  1 1.9493e+10 1.1008e+13 46193
+ Utilities_NoSewr     1 1.6839e+10 1.1010e+13 46193
+ Exterior1st_AsphShn  1 1.5097e+10 1.1012e+13 46194
+ BldgType_2           1 1.0795e+10 1.1016e+13 46194
+ Exterior1st_Stucco   1 1.0014e+10 1.1017e+13 46195
+ Exterior1st_BrkFace  1 9.4383e+09 1.1018e+13 46195
+ Exterior1st_Plywood  1 8.2590e+09 1.1019e+13 46195
+ Exterior1st_ImStucc  1 7.0550e+09 1.1020e+13 46195
+ Exterior1st_PreCast  1 6.7230e+09 1.1020e+13 46195
+ BsmtFinSF2           1 6.6426e+09 1.1020e+13 46195
+ LowQualFinSF         1 4.2926e+09 1.1023e+13 46196
+ MiscVal              1 3.5265e+09 1.1023e+13 46196
+ Exterior1st_BrkComm  1 3.1392e+09 1.1024e+13 46196
+ ExterCond            1 5.8364e+08 1.1026e+13 46196
+ YrSold               1 4.0571e+07 1.1027e+13 46196

Step:  AIC=44701.5
SalePrice ~ GrLivArea

                      Df  Sum of Sq        RSS   AIC
+ ExterQual            1 2.1091e+12 3.2315e+12 43669
+ KitchenQual          1 1.8335e+12 3.5070e+12 43838
+ HouseAge             1 1.7597e+12 3.5809e+12 43881
+ TotalBsmtSF          1 1.7594e+12 3.5812e+12 43881
+ BsmtQual             1 1.6216e+12 3.7189e+12 43959
+ BsmtFinSF1           1 1.4438e+12 3.8968e+12 44056
+ GarageArea           1 1.3381e+12 4.0025e+12 44111
+ GarageCars           1 1.2847e+12 4.0558e+12 44138
+ GarageYrBlt          1 1.2786e+12 4.0619e+12 44141
+ Neighborhood_Tier_3  1 1.2287e+12 4.1118e+12 44166
+ RemodelAge           1 1.1247e+12 4.2158e+12 44218
+ X1stFlrSF            1 1.0446e+12 4.2959e+12 44257
+ X2ndFlrSF            1 9.8130e+11 4.3592e+12 44287
+ Foundation_2         1 9.6620e+11 4.3743e+12 44294
+ BsmtFinType1_3       1 9.6136e+11 4.3792e+12 44296
+ BedroomAbvGr         1 9.3652e+11 4.4040e+12 44308
+ BsmtFullBath         1 8.2911e+11 4.5114e+12 44358
+ GarageType_2         1 8.0407e+11 4.5365e+12 44369
+ HeatingQC            1 7.2498e+11 4.6156e+12 44405
+ MasVnrArea           1 6.2133e+11 4.7192e+12 44450
+ KitchenAbvGr         1 5.6458e+11 4.7760e+12 44475
+ GarageFinish_2       1 5.5944e+11 4.7811e+12 44477
+ MSZoning_2           1 5.3235e+11 4.8082e+12 44489
+ FireplaceQu          1 5.2282e+11 4.8177e+12 44493
+ MasVnrType_None      1 5.0173e+11 4.8388e+12 44502
+ Exterior1st_VinylSd  1 4.7138e+11 4.8692e+12 44515
+ MasVnrType_Stone     1 4.4117e+11 4.8994e+12 44528
+ BldgType_3           1 3.8752e+11 4.9530e+12 44550
+ CentralAir_Y         1 3.8162e+11 4.9589e+12 44553
+ Fireplaces           1 3.7908e+11 4.9615e+12 44554
+ PavedDrive_2         1 3.6549e+11 4.9751e+12 44559
+ BsmtExposure_3       1 3.4690e+11 4.9936e+12 44567
+ HouseStyle_2         1 3.3370e+11 5.0068e+12 44572
+ TotRmsAbvGrd         1 3.2480e+11 5.0157e+12 44576
+ SaleCondition_2      1 3.1772e+11 5.0228e+12 44579
+ GarageQual           1 2.9180e+11 5.0487e+12 44590
+ LotShape_2           1 2.9102e+11 5.0495e+12 44590
+ BsmtCond             1 2.9029e+11 5.0503e+12 44590
+ Functional_2         1 2.8667e+11 5.0539e+12 44592
+ GarageCond           1 2.7471e+11 5.0658e+12 44597
+ Electrical_2         1 2.6249e+11 5.0781e+12 44601
+ WoodDeckSF           1 2.6154e+11 5.0790e+12 44602
+ MSSubClass           1 2.4773e+11 5.0928e+12 44607
+ LotFrontage          1 2.0241e+11 5.1381e+12 44626
+ Exterior1st_Wd.Sdng  1 1.9682e+11 5.1437e+12 44628
+ EnclosedPorch        1 1.7224e+11 5.1683e+12 44638
+ BsmtFinType1_2       1 1.5112e+11 5.1894e+12 44646
+ BsmtExposure_2       1 1.4434e+11 5.1962e+12 44649
+ MasVnrType_BrkFace   1 1.4372e+11 5.1968e+12 44649
+ BldgType_2           1 1.1719e+11 5.2234e+12 44660
+ FullBath             1 1.0956e+11 5.2310e+12 44663
+ LotArea              1 1.0219e+11 5.2384e+12 44666
+ Exterior1st_CemntBd  1 8.9399e+10 5.2511e+12 44671
+ OpenPorchSF          1 8.3662e+10 5.2569e+12 44673
+ LowQualFinSF         1 7.3427e+10 5.2671e+12 44677
+ Exterior1st_MetalSd  1 6.2593e+10 5.2780e+12 44681
+ LandSlope_2          1 3.5431e+10 5.3051e+12 44692
+ HalfBath             1 2.3989e+10 5.3166e+12 44696
+ ScreenPorch          1 2.3245e+10 5.3173e+12 44696
+ Exterior1st_Plywood  1 1.9448e+10 5.3211e+12 44698
+ Exterior1st_AsphShn  1 1.5794e+10 5.3248e+12 44699
+ PoolQC               1 1.2775e+10 5.3278e+12 44700
+ BsmtFinSF2           1 1.0572e+10 5.3300e+12 44701
<none>                              5.3405e+12 44702
+ X3SsnPorch           1 1.0083e+10 5.3305e+12 44702
+ Exterior1st_HdBoard  1 9.8445e+09 5.3307e+12 44702
+ HouseStyle_3         1 9.7134e+09 5.3308e+12 44702
+ Exterior1st_WdShing  1 6.6720e+09 5.3339e+12 44703
+ Exterior1st_PreCast  1 6.1592e+09 5.3344e+12 44703
+ Utilities_NoSewr     1 5.8719e+09 5.3347e+12 44703
+ Exterior1st_ImStucc  1 4.7470e+09 5.3358e+12 44704
+ Exterior1st_Stucco   1 4.5030e+09 5.3360e+12 44704
+ Condition1_2         1 4.2704e+09 5.3363e+12 44704
+ PoolArea             1 4.1965e+09 5.3364e+12 44704
+ ExterCond            1 3.8798e+09 5.3367e+12 44704
+ Exterior1st_BrkComm  1 3.5739e+09 5.3370e+12 44704
+ MiscVal              1 3.5670e+09 5.3370e+12 44704
+ Neighborhood_Tier_2  1 3.0912e+09 5.3375e+12 44704
+ BsmtUnfSF            1 2.4443e+09 5.3381e+12 44704
+ Street_Pave          1 1.2578e+09 5.3393e+12 44705
+ Exterior1st_BrkFace  1 5.1063e+08 5.3400e+12 44705
+ YrSold               1 2.1293e+08 5.3403e+12 44705
+ BsmtHalfBath         1 1.0465e+08 5.3404e+12 44705

Step:  AIC=43669.48
SalePrice ~ GrLivArea + ExterQual

                      Df  Sum of Sq        RSS   AIC
+ BsmtFinSF1           1 8.7739e+11 2.3541e+12 43020
+ TotalBsmtSF          1 7.9214e+11 2.4393e+12 43094
+ X1stFlrSF            1 5.6719e+11 2.6643e+12 43275
+ X2ndFlrSF            1 5.4125e+11 2.6902e+12 43295
+ GarageArea           1 4.7098e+11 2.7605e+12 43349
+ BsmtFullBath         1 4.4210e+11 2.7894e+12 43370
+ BsmtQual             1 4.2682e+11 2.8046e+12 43381
+ GarageCars           1 3.9096e+11 2.8405e+12 43407
+ HouseAge             1 3.8650e+11 2.8450e+12 43411
+ KitchenQual          1 2.9864e+11 2.9328e+12 43473
+ Fireplaces           1 2.8212e+11 2.9493e+12 43485
+ HouseStyle_2         1 2.7374e+11 2.9577e+12 43491
+ MasVnrArea           1 2.5066e+11 2.9808e+12 43507
+ GarageType_2         1 2.4551e+11 2.9859e+12 43510
+ Neighborhood_Tier_3  1 2.4478e+11 2.9867e+12 43511
+ MSSubClass           1 2.3489e+11 2.9966e+12 43518
+ FireplaceQu          1 2.2680e+11 3.0047e+12 43523
+ MSZoning_2           1 2.2542e+11 3.0060e+12 43524
+ BedroomAbvGr         1 2.1982e+11 3.0116e+12 43528
+ LotFrontage          1 2.1060e+11 3.0209e+12 43534
+ BsmtFinType1_3       1 1.9928e+11 3.0322e+12 43542
+ KitchenAbvGr         1 1.8837e+11 3.0431e+12 43550
+ GarageYrBlt          1 1.7798e+11 3.0535e+12 43557
+ BsmtExposure_3       1 1.7693e+11 3.0545e+12 43557
+ LotArea              1 1.7588e+11 3.0556e+12 43558
+ BldgType_3           1 1.6129e+11 3.0702e+12 43568
+ GarageFinish_2       1 1.5324e+11 3.0782e+12 43573
+ MasVnrType_None      1 1.4969e+11 3.0818e+12 43576
+ PavedDrive_2         1 1.4005e+11 3.0914e+12 43582
+ WoodDeckSF           1 1.3059e+11 3.1009e+12 43588
+ CentralAir_Y         1 1.2933e+11 3.1021e+12 43589
+ RemodelAge           1 1.2765e+11 3.1038e+12 43590
+ LotShape_2           1 1.0768e+11 3.1238e+12 43604
+ TotRmsAbvGrd         1 1.0314e+11 3.1283e+12 43607
+ MasVnrType_Stone     1 1.0107e+11 3.1304e+12 43608
+ GarageQual           1 9.6337e+10 3.1351e+12 43611
+ GarageCond           1 9.3427e+10 3.1380e+12 43613
+ BsmtCond             1 8.8902e+10 3.1426e+12 43616
+ Functional_2         1 7.9740e+10 3.1517e+12 43622
+ SaleCondition_2      1 6.7182e+10 3.1643e+12 43630
+ Foundation_2         1 6.3417e+10 3.1680e+12 43633
+ LandSlope_2          1 6.0509e+10 3.1710e+12 43634
+ BsmtExposure_2       1 6.0503e+10 3.1710e+12 43634
+ BsmtFinType1_2       1 5.9139e+10 3.1723e+12 43635
+ Electrical_2         1 5.7458e+10 3.1740e+12 43636
+ BsmtUnfSF            1 5.4333e+10 3.1771e+12 43638
+ HeatingQC            1 5.3344e+10 3.1781e+12 43639
+ MasVnrType_BrkFace   1 5.2471e+10 3.1790e+12 43640
+ ScreenPorch          1 5.2299e+10 3.1792e+12 43640
+ HouseStyle_3         1 3.4193e+10 3.1973e+12 43651
+ EnclosedPorch        1 3.1935e+10 3.1995e+12 43653
+ HalfBath             1 2.7134e+10 3.2043e+12 43656
+ Exterior1st_Wd.Sdng  1 2.5463e+10 3.2060e+12 43657
+ BsmtFinSF2           1 2.0748e+10 3.2107e+12 43660
+ LowQualFinSF         1 1.8380e+10 3.2131e+12 43662
+ Exterior1st_MetalSd  1 1.8311e+10 3.2131e+12 43662
+ Exterior1st_VinylSd  1 1.2677e+10 3.2188e+12 43665
+ Neighborhood_Tier_2  1 1.1686e+10 3.2198e+12 43666
+ PoolQC               1 1.1061e+10 3.2204e+12 43666
+ Exterior1st_PreCast  1 1.0481e+10 3.2210e+12 43667
+ Exterior1st_CemntBd  1 1.0014e+10 3.2214e+12 43667
+ Exterior1st_BrkFace  1 8.7345e+09 3.2227e+12 43668
+ Condition1_2         1 7.8835e+09 3.2236e+12 43668
+ Exterior1st_HdBoard  1 6.4589e+09 3.2250e+12 43669
+ Exterior1st_Plywood  1 6.1625e+09 3.2253e+12 43669
<none>                              3.2315e+12 43669
+ BsmtHalfBath         1 5.2931e+09 3.2262e+12 43670
+ OpenPorchSF          1 4.7633e+09 3.2267e+12 43670
+ Exterior1st_AsphShn  1 2.3253e+09 3.2291e+12 43672
+ BldgType_2           1 2.2869e+09 3.2292e+12 43672
+ X3SsnPorch           1 2.0770e+09 3.2294e+12 43672
+ FullBath             1 1.8173e+09 3.2296e+12 43672
+ Exterior1st_Stucco   1 1.3793e+09 3.2301e+12 43673
+ Exterior1st_BrkComm  1 1.2591e+09 3.2302e+12 43673
+ YrSold               1 1.1888e+09 3.2303e+12 43673
+ Exterior1st_ImStucc  1 1.1034e+09 3.2304e+12 43673
+ Exterior1st_WdShing  1 5.4851e+08 3.2309e+12 43673
+ ExterCond            1 4.9656e+08 3.2310e+12 43673
+ PoolArea             1 4.9267e+08 3.2310e+12 43673
+ Street_Pave          1 3.2434e+08 3.2311e+12 43673
+ Utilities_NoSewr     1 1.9697e+08 3.2313e+12 43673
+ MiscVal              1 2.2136e+07 3.2314e+12 43673

Step:  AIC=43020.18
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1

                      Df  Sum of Sq        RSS   AIC
+ TotalBsmtSF          1 2.5343e+11 2.1006e+12 42789
+ GarageArea           1 2.4089e+11 2.1132e+12 42801
+ GarageCars           1 2.2584e+11 2.1282e+12 42816
+ KitchenQual          1 2.0390e+11 2.1502e+12 42837
+ HouseAge             1 1.8437e+11 2.1697e+12 42856
+ X1stFlrSF            1 1.7859e+11 2.1755e+12 42861
+ BsmtQual             1 1.7280e+11 2.1813e+12 42867
+ X2ndFlrSF            1 1.6931e+11 2.1848e+12 42870
+ Neighborhood_Tier_3  1 1.6470e+11 2.1894e+12 42875
+ MSSubClass           1 1.5222e+11 2.2019e+12 42886
+ BsmtUnfSF            1 1.4821e+11 2.2059e+12 42890
+ BldgType_3           1 1.3755e+11 2.2165e+12 42900
+ FireplaceQu          1 1.2110e+11 2.2330e+12 42915
+ KitchenAbvGr         1 1.1929e+11 2.2348e+12 42917
+ RemodelAge           1 1.1458e+11 2.2395e+12 42921
+ GarageYrBlt          1 1.1402e+11 2.2401e+12 42922
+ LotFrontage          1 1.1179e+11 2.2423e+12 42924
+ MasVnrArea           1 1.0283e+11 2.2512e+12 42932
+ Fireplaces           1 1.0057e+11 2.2535e+12 42934
+ MSZoning_2           1 1.0003e+11 2.2540e+12 42935
+ BedroomAbvGr         1 9.9865e+10 2.2542e+12 42935
+ GarageType_2         1 8.4632e+10 2.2694e+12 42949
+ LotArea              1 8.2119e+10 2.2720e+12 42951
+ SaleCondition_2      1 8.1025e+10 2.2730e+12 42952
+ Foundation_2         1 7.3222e+10 2.2809e+12 42959
+ Functional_2         1 7.2995e+10 2.2811e+12 42959
+ HouseStyle_2         1 7.1933e+10 2.2821e+12 42960
+ GarageFinish_2       1 7.1861e+10 2.2822e+12 42960
+ HeatingQC            1 6.4168e+10 2.2899e+12 42967
+ BsmtExposure_3       1 5.8874e+10 2.2952e+12 42972
+ CentralAir_Y         1 5.4282e+10 2.2998e+12 42976
+ MasVnrType_Stone     1 4.9791e+10 2.3043e+12 42980
+ LotShape_2           1 4.4316e+10 2.3098e+12 42985
+ WoodDeckSF           1 4.3318e+10 2.3108e+12 42986
+ GarageCond           1 4.1001e+10 2.3131e+12 42988
+ PavedDrive_2         1 3.9866e+10 2.3142e+12 42989
+ MasVnrType_None      1 3.8817e+10 2.3153e+12 42990
+ GarageQual           1 3.7893e+10 2.3162e+12 42991
+ BsmtFinSF2           1 3.7372e+10 2.3167e+12 42991
+ Exterior1st_VinylSd  1 3.4824e+10 2.3193e+12 42993
+ BsmtCond             1 2.6183e+10 2.3279e+12 43001
+ TotRmsAbvGrd         1 2.4191e+10 2.3299e+12 43003
+ ScreenPorch          1 2.0292e+10 2.3338e+12 43006
+ Electrical_2         1 1.9649e+10 2.3344e+12 43007
+ LandSlope_2          1 1.4399e+10 2.3397e+12 43011
+ Exterior1st_MetalSd  1 1.2941e+10 2.3411e+12 43013
+ EnclosedPorch        1 1.2375e+10 2.3417e+12 43013
+ BsmtFinType1_2       1 1.0639e+10 2.3434e+12 43015
+ BsmtExposure_2       1 1.0198e+10 2.3439e+12 43015
+ BsmtFinType1_3       1 8.7786e+09 2.3453e+12 43016
+ Neighborhood_Tier_2  1 8.2235e+09 2.3459e+12 43017
+ BsmtFullBath         1 7.7496e+09 2.3463e+12 43017
+ Exterior1st_Wd.Sdng  1 7.4125e+09 2.3467e+12 43018
+ MasVnrType_BrkFace   1 7.0557e+09 2.3470e+12 43018
+ PoolQC               1 6.9295e+09 2.3471e+12 43018
+ Exterior1st_BrkFace  1 5.7948e+09 2.3483e+12 43019
+ BldgType_2           1 5.3544e+09 2.3487e+12 43019
+ Condition1_2         1 5.1583e+09 2.3489e+12 43020
+ Exterior1st_PreCast  1 4.9839e+09 2.3491e+12 43020
+ LowQualFinSF         1 4.5225e+09 2.3496e+12 43020
<none>                              2.3541e+12 43020
+ HouseStyle_3         1 3.9740e+09 2.3501e+12 43021
+ HalfBath             1 3.0568e+09 2.3510e+12 43021
+ YrSold               1 2.8609e+09 2.3512e+12 43022
+ OpenPorchSF          1 2.7755e+09 2.3513e+12 43022
+ Exterior1st_BrkComm  1 9.8709e+08 2.3531e+12 43023
+ PoolArea             1 8.0206e+08 2.3533e+12 43023
+ Exterior1st_AsphShn  1 6.9471e+08 2.3534e+12 43023
+ Exterior1st_Plywood  1 5.7948e+08 2.3535e+12 43024
+ FullBath             1 5.1999e+08 2.3536e+12 43024
+ MiscVal              1 3.3178e+08 2.3537e+12 43024
+ Exterior1st_Stucco   1 2.7014e+08 2.3538e+12 43024
+ Exterior1st_HdBoard  1 1.7044e+08 2.3539e+12 43024
+ Exterior1st_ImStucc  1 1.2504e+08 2.3539e+12 43024
+ Exterior1st_CemntBd  1 1.1166e+08 2.3540e+12 43024
+ ExterCond            1 9.6606e+07 2.3540e+12 43024
+ X3SsnPorch           1 7.2483e+07 2.3540e+12 43024
+ Utilities_NoSewr     1 4.1625e+07 2.3540e+12 43024
+ BsmtHalfBath         1 3.0795e+07 2.3540e+12 43024
+ Street_Pave          1 8.9352e+06 2.3541e+12 43024
+ Exterior1st_WdShing  1 6.2471e+06 2.3541e+12 43024

Step:  AIC=42789.22
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF

                      Df  Sum of Sq        RSS   AIC
+ KitchenQual          1 1.7578e+11 1.9249e+12 42613
+ GarageArea           1 1.6767e+11 1.9330e+12 42622
+ GarageCars           1 1.6758e+11 1.9331e+12 42622
+ Neighborhood_Tier_3  1 1.5527e+11 1.9454e+12 42635
+ HouseAge             1 1.4403e+11 1.9566e+12 42647
+ KitchenAbvGr         1 1.3004e+11 1.9706e+12 42661
+ RemodelAge           1 1.2675e+11 1.9739e+12 42665
+ BldgType_3           1 1.1179e+11 1.9888e+12 42680
+ BedroomAbvGr         1 1.0662e+11 1.9940e+12 42686
+ GarageYrBlt          1 1.0250e+11 1.9981e+12 42690
+ FireplaceQu          1 9.5207e+10 2.0054e+12 42697
+ BsmtExposure_3       1 9.3339e+10 2.0073e+12 42699
+ Fireplaces           1 8.2819e+10 2.0178e+12 42710
+ GarageFinish_2       1 8.2297e+10 2.0183e+12 42711
+ MasVnrArea           1 7.6576e+10 2.0241e+12 42717
+ BsmtQual             1 6.8270e+10 2.0324e+12 42725
+ LotFrontage          1 6.7951e+10 2.0327e+12 42725
+ Foundation_2         1 6.6063e+10 2.0346e+12 42727
+ HeatingQC            1 6.5006e+10 2.0356e+12 42728
+ MSSubClass           1 6.4300e+10 2.0363e+12 42729
+ SaleCondition_2      1 6.1436e+10 2.0392e+12 42732
+ MSZoning_2           1 6.1082e+10 2.0396e+12 42732
+ Functional_2         1 6.0797e+10 2.0398e+12 42733
+ GarageType_2         1 5.5367e+10 2.0453e+12 42738
+ LotArea              1 5.3625e+10 2.0470e+12 42740
+ BsmtFinType1_3       1 5.0787e+10 2.0499e+12 42743
+ WoodDeckSF           1 3.9475e+10 2.0612e+12 42754
+ LotShape_2           1 3.6943e+10 2.0637e+12 42757
+ GarageCond           1 3.6158e+10 2.0645e+12 42757
+ CentralAir_Y         1 3.4291e+10 2.0664e+12 42759
+ Exterior1st_VinylSd  1 3.3490e+10 2.0672e+12 42760
+ GarageQual           1 3.3093e+10 2.0675e+12 42760
+ TotRmsAbvGrd         1 2.6073e+10 2.0746e+12 42767
+ PavedDrive_2         1 2.3865e+10 2.0768e+12 42770
+ MasVnrType_Stone     1 2.3447e+10 2.0772e+12 42770
+ Neighborhood_Tier_2  1 1.7369e+10 2.0833e+12 42776
+ MasVnrType_None      1 1.6206e+10 2.0844e+12 42777
+ Electrical_2         1 1.6202e+10 2.0844e+12 42777
+ ScreenPorch          1 1.5614e+10 2.0850e+12 42778
+ LandSlope_2          1 1.5596e+10 2.0850e+12 42778
+ X1stFlrSF            1 1.4174e+10 2.0865e+12 42779
+ HouseStyle_3         1 1.3765e+10 2.0869e+12 42780
+ HalfBath             1 1.2947e+10 2.0877e+12 42780
+ EnclosedPorch        1 1.1677e+10 2.0890e+12 42782
+ X2ndFlrSF            1 1.1372e+10 2.0893e+12 42782
+ BsmtFinType1_2       1 1.0705e+10 2.0899e+12 42783
+ PoolQC               1 1.0238e+10 2.0904e+12 42783
+ BsmtExposure_2       1 9.7478e+09 2.0909e+12 42784
+ Exterior1st_MetalSd  1 8.5847e+09 2.0921e+12 42785
+ BsmtFinSF2           1 8.3611e+09 2.0923e+12 42785
+ BsmtUnfSF            1 8.3611e+09 2.0923e+12 42785
+ Exterior1st_Wd.Sdng  1 7.9211e+09 2.0927e+12 42785
+ BsmtFullBath         1 5.8633e+09 2.0948e+12 42787
+ Condition1_2         1 4.9975e+09 2.0956e+12 42788
+ BldgType_2           1 4.7995e+09 2.0958e+12 42788
+ LowQualFinSF         1 4.1996e+09 2.0964e+12 42789
<none>                              2.1006e+12 42789
+ Exterior1st_PreCast  1 3.3437e+09 2.0973e+12 42790
+ Exterior1st_Plywood  1 2.7584e+09 2.0979e+12 42790
+ YrSold               1 2.6362e+09 2.0980e+12 42791
+ ExterCond            1 2.4539e+09 2.0982e+12 42791
+ MasVnrType_BrkFace   1 2.3691e+09 2.0983e+12 42791
+ OpenPorchSF          1 1.4749e+09 2.0992e+12 42792
+ Exterior1st_CemntBd  1 1.1059e+09 2.0995e+12 42792
+ Exterior1st_Stucco   1 1.0921e+09 2.0995e+12 42792
+ Exterior1st_BrkFace  1 7.5143e+08 2.0999e+12 42792
+ Exterior1st_BrkComm  1 6.3242e+08 2.1000e+12 42793
+ HouseStyle_2         1 5.8271e+08 2.1001e+12 42793
+ Exterior1st_WdShing  1 3.7176e+08 2.1003e+12 42793
+ MiscVal              1 3.5326e+08 2.1003e+12 42793
+ PoolArea             1 2.3731e+08 2.1004e+12 42793
+ BsmtCond             1 1.7160e+08 2.1005e+12 42793
+ Exterior1st_ImStucc  1 1.4826e+08 2.1005e+12 42793
+ Exterior1st_HdBoard  1 1.1815e+08 2.1005e+12 42793
+ BsmtHalfBath         1 9.0163e+07 2.1006e+12 42793
+ Street_Pave          1 4.5216e+07 2.1006e+12 42793
+ Exterior1st_AsphShn  1 2.8510e+07 2.1006e+12 42793
+ X3SsnPorch           1 2.7089e+07 2.1006e+12 42793
+ Utilities_NoSewr     1 1.1122e+07 2.1006e+12 42793
+ FullBath             1 2.0191e+06 2.1006e+12 42793

Step:  AIC=42612.94
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual

                      Df  Sum of Sq        RSS   AIC
+ GarageCars           1 1.3344e+11 1.7914e+12 42469
+ GarageArea           1 1.3275e+11 1.7921e+12 42470
+ Neighborhood_Tier_3  1 1.2276e+11 1.8021e+12 42481
+ HouseAge             1 9.7358e+10 1.8275e+12 42510
+ KitchenAbvGr         1 9.6780e+10 1.8281e+12 42510
+ BsmtExposure_3       1 9.1145e+10 1.8337e+12 42517
+ FireplaceQu          1 8.6061e+10 1.8388e+12 42523
+ BldgType_3           1 8.4621e+10 1.8402e+12 42524
+ Fireplaces           1 8.3950e+10 1.8409e+12 42525
+ BedroomAbvGr         1 8.3335e+10 1.8415e+12 42526
+ MasVnrArea           1 7.9253e+10 1.8456e+12 42530
+ GarageFinish_2       1 6.5820e+10 1.8590e+12 42545
+ GarageYrBlt          1 6.1405e+10 1.8635e+12 42550
+ LotFrontage          1 6.1127e+10 1.8637e+12 42550
+ LotArea              1 5.6103e+10 1.8688e+12 42556
+ MSSubClass           1 5.3984e+10 1.8709e+12 42558
+ SaleCondition_2      1 5.3481e+10 1.8714e+12 42559
+ MSZoning_2           1 5.2835e+10 1.8720e+12 42559
+ RemodelAge           1 5.1891e+10 1.8730e+12 42560
+ Functional_2         1 4.6506e+10 1.8784e+12 42566
+ BsmtQual             1 4.5164e+10 1.8797e+12 42568
+ GarageType_2         1 4.0973e+10 1.8839e+12 42572
+ Foundation_2         1 3.7365e+10 1.8875e+12 42576
+ LotShape_2           1 3.5772e+10 1.8891e+12 42578
+ BsmtFinType1_3       1 3.0663e+10 1.8942e+12 42584
+ WoodDeckSF           1 2.9052e+10 1.8958e+12 42585
+ HeatingQC            1 2.6633e+10 1.8982e+12 42588
+ GarageCond           1 2.6113e+10 1.8988e+12 42589
+ GarageQual           1 2.3858e+10 1.9010e+12 42591
+ CentralAir_Y         1 2.3703e+10 1.9012e+12 42591
+ Neighborhood_Tier_2  1 2.0469e+10 1.9044e+12 42595
+ TotRmsAbvGrd         1 1.9987e+10 1.9049e+12 42595
+ Exterior1st_VinylSd  1 1.8947e+10 1.9059e+12 42596
+ PavedDrive_2         1 1.8308e+10 1.9066e+12 42597
+ LandSlope_2          1 1.6370e+10 1.9085e+12 42599
+ MasVnrType_Stone     1 1.5965e+10 1.9089e+12 42600
+ MasVnrType_None      1 1.4852e+10 1.9100e+12 42601
+ HouseStyle_3         1 1.4103e+10 1.9108e+12 42602
+ ScreenPorch          1 1.2923e+10 1.9119e+12 42603
+ BsmtFinType1_2       1 1.0505e+10 1.9144e+12 42606
+ X1stFlrSF            1 9.7822e+09 1.9151e+12 42606
+ HalfBath             1 9.7627e+09 1.9151e+12 42606
+ PoolQC               1 9.5916e+09 1.9153e+12 42607
+ BsmtExposure_2       1 9.4802e+09 1.9154e+12 42607
+ EnclosedPorch        1 8.8726e+09 1.9160e+12 42607
+ Electrical_2         1 8.7709e+09 1.9161e+12 42607
+ BsmtFinSF2           1 8.4797e+09 1.9164e+12 42608
+ BsmtUnfSF            1 8.4797e+09 1.9164e+12 42608
+ BldgType_2           1 8.1785e+09 1.9167e+12 42608
+ Exterior1st_PreCast  1 7.3631e+09 1.9175e+12 42609
+ X2ndFlrSF            1 7.1958e+09 1.9177e+12 42609
+ Exterior1st_MetalSd  1 5.8458e+09 1.9190e+12 42611
+ Exterior1st_Wd.Sdng  1 5.8080e+09 1.9191e+12 42611
+ LowQualFinSF         1 5.7458e+09 1.9191e+12 42611
+ YrSold               1 4.7008e+09 1.9202e+12 42612
+ Condition1_2         1 4.2184e+09 1.9206e+12 42612
<none>                              1.9249e+12 42613
+ BsmtFullBath         1 2.9507e+09 1.9219e+12 42614
+ MasVnrType_BrkFace   1 2.9096e+09 1.9220e+12 42614
+ Exterior1st_Plywood  1 2.6537e+09 1.9222e+12 42614
+ Exterior1st_BrkFace  1 9.3584e+08 1.9239e+12 42616
+ Exterior1st_CemntBd  1 8.4459e+08 1.9240e+12 42616
+ Exterior1st_Stucco   1 7.5874e+08 1.9241e+12 42616
+ ExterCond            1 7.4496e+08 1.9241e+12 42616
+ HouseStyle_2         1 7.1526e+08 1.9241e+12 42616
+ BsmtCond             1 5.9433e+08 1.9243e+12 42616
+ PoolArea             1 4.2216e+08 1.9244e+12 42616
+ FullBath             1 3.8560e+08 1.9245e+12 42616
+ OpenPorchSF          1 3.4360e+08 1.9245e+12 42616
+ Exterior1st_WdShing  1 3.4097e+08 1.9245e+12 42616
+ X3SsnPorch           1 2.8688e+08 1.9246e+12 42617
+ MiscVal              1 1.9002e+08 1.9247e+12 42617
+ BsmtHalfBath         1 1.6108e+08 1.9247e+12 42617
+ Exterior1st_AsphShn  1 1.4905e+08 1.9247e+12 42617
+ Exterior1st_ImStucc  1 1.1867e+08 1.9247e+12 42617
+ Utilities_NoSewr     1 1.1277e+08 1.9248e+12 42617
+ Street_Pave          1 6.8559e+07 1.9248e+12 42617
+ Exterior1st_HdBoard  1 3.3560e+07 1.9248e+12 42617
+ Exterior1st_BrkComm  1 2.0408e+05 1.9249e+12 42617

Step:  AIC=42468.71
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars

                      Df  Sum of Sq        RSS   AIC
+ KitchenAbvGr         1 8.8930e+10 1.7025e+12 42368
+ BsmtExposure_3       1 7.7918e+10 1.7135e+12 42381
+ BldgType_3           1 7.5828e+10 1.7156e+12 42383
+ Neighborhood_Tier_3  1 7.5146e+10 1.7163e+12 42384
+ BedroomAbvGr         1 7.0050e+10 1.7214e+12 42390
+ Fireplaces           1 6.9459e+10 1.7220e+12 42391
+ FireplaceQu          1 6.8293e+10 1.7231e+12 42392
+ MasVnrArea           1 6.0373e+10 1.7311e+12 42402
+ MSSubClass           1 4.9568e+10 1.7419e+12 42415
+ LotArea              1 4.8032e+10 1.7434e+12 42417
+ HouseAge             1 4.5710e+10 1.7457e+12 42419
+ SaleCondition_2      1 4.4760e+10 1.7467e+12 42420
+ GarageFinish_2       1 4.4337e+10 1.7471e+12 42421
+ Functional_2         1 4.1568e+10 1.7499e+12 42424
+ LotFrontage          1 3.9643e+10 1.7518e+12 42426
+ MSZoning_2           1 3.7823e+10 1.7536e+12 42429
+ RemodelAge           1 3.6381e+10 1.7550e+12 42430
+ BsmtQual             1 2.7636e+10 1.7638e+12 42441
+ GarageYrBlt          1 2.4864e+10 1.7666e+12 42444
+ LotShape_2           1 2.3923e+10 1.7675e+12 42445
+ GarageType_2         1 2.2873e+10 1.7686e+12 42446
+ HeatingQC            1 2.1045e+10 1.7704e+12 42448
+ BsmtFinType1_3       1 2.0715e+10 1.7707e+12 42449
+ LandSlope_2          1 1.9252e+10 1.7722e+12 42450
+ WoodDeckSF           1 1.9203e+10 1.7722e+12 42450
+ TotRmsAbvGrd         1 1.9144e+10 1.7723e+12 42450
+ Foundation_2         1 1.8423e+10 1.7730e+12 42451
+ ScreenPorch          1 1.3726e+10 1.7777e+12 42457
+ GarageArea           1 1.2196e+10 1.7792e+12 42459
+ Exterior1st_PreCast  1 1.1872e+10 1.7796e+12 42459
+ CentralAir_Y         1 1.0588e+10 1.7808e+12 42460
+ Neighborhood_Tier_2  1 1.0563e+10 1.7809e+12 42460
+ MasVnrType_Stone     1 9.9497e+09 1.7815e+12 42461
+ PoolQC               1 9.5396e+09 1.7819e+12 42462
+ BldgType_2           1 8.6438e+09 1.7828e+12 42463
+ BsmtFinSF2           1 8.1563e+09 1.7833e+12 42463
+ BsmtUnfSF            1 8.1563e+09 1.7833e+12 42463
+ Exterior1st_VinylSd  1 7.8812e+09 1.7835e+12 42464
+ BsmtFinType1_2       1 7.5986e+09 1.7838e+12 42464
+ PavedDrive_2         1 7.5474e+09 1.7839e+12 42464
+ HouseStyle_3         1 7.2853e+09 1.7841e+12 42464
+ BsmtExposure_2       1 6.5197e+09 1.7849e+12 42465
+ X1stFlrSF            1 6.4516e+09 1.7850e+12 42465
+ FullBath             1 6.0826e+09 1.7853e+12 42466
+ Exterior1st_Plywood  1 5.0138e+09 1.7864e+12 42467
+ X2ndFlrSF            1 4.9005e+09 1.7865e+12 42467
+ MasVnrType_None      1 4.6406e+09 1.7868e+12 42467
+ HalfBath             1 4.5679e+09 1.7869e+12 42467
+ EnclosedPorch        1 4.3573e+09 1.7871e+12 42468
+ Exterior1st_MetalSd  1 4.0121e+09 1.7874e+12 42468
+ Exterior1st_BrkFace  1 3.6890e+09 1.7877e+12 42468
+ Exterior1st_CemntBd  1 3.4759e+09 1.7879e+12 42469
<none>                              1.7914e+12 42469
+ YrSold               1 3.3238e+09 1.7881e+12 42469
+ Electrical_2         1 3.0846e+09 1.7883e+12 42469
+ LowQualFinSF         1 3.0137e+09 1.7884e+12 42469
+ Condition1_2         1 2.8968e+09 1.7885e+12 42469
+ GarageQual           1 2.3929e+09 1.7890e+12 42470
+ BsmtFullBath         1 2.0868e+09 1.7893e+12 42470
+ ExterCond            1 1.8545e+09 1.7896e+12 42470
+ HouseStyle_2         1 1.8425e+09 1.7896e+12 42470
+ GarageCond           1 1.6052e+09 1.7898e+12 42471
+ Exterior1st_Wd.Sdng  1 1.2867e+09 1.7901e+12 42471
+ Exterior1st_Stucco   1 1.2089e+09 1.7902e+12 42471
+ OpenPorchSF          1 8.5737e+08 1.7906e+12 42472
+ PoolArea             1 6.9698e+08 1.7907e+12 42472
+ Exterior1st_WdShing  1 6.8243e+08 1.7907e+12 42472
+ BsmtCond             1 5.1281e+08 1.7909e+12 42472
+ Exterior1st_ImStucc  1 4.0452e+08 1.7910e+12 42472
+ Exterior1st_HdBoard  1 3.5570e+08 1.7911e+12 42472
+ Utilities_NoSewr     1 2.9798e+08 1.7911e+12 42472
+ X3SsnPorch           1 2.3463e+08 1.7912e+12 42472
+ MasVnrType_BrkFace   1 1.4807e+08 1.7913e+12 42472
+ Exterior1st_AsphShn  1 1.2749e+08 1.7913e+12 42472
+ BsmtHalfBath         1 5.4519e+07 1.7914e+12 42473
+ Exterior1st_BrkComm  1 3.1889e+07 1.7914e+12 42473
+ Street_Pave          1 2.9227e+06 1.7914e+12 42473
+ MiscVal              1 1.9777e+06 1.7914e+12 42473

Step:  AIC=42367.63
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr

                      Df  Sum of Sq        RSS   AIC
+ BsmtExposure_3       1 9.7892e+10 1.6046e+12 42249
+ Neighborhood_Tier_3  1 7.0282e+10 1.6322e+12 42285
+ MasVnrArea           1 5.5803e+10 1.6467e+12 42303
+ BedroomAbvGr         1 4.9437e+10 1.6531e+12 42311
+ Functional_2         1 4.6029e+10 1.6565e+12 42315
+ Fireplaces           1 4.5635e+10 1.6569e+12 42316
+ SaleCondition_2      1 4.5159e+10 1.6573e+12 42316
+ FireplaceQu          1 4.2976e+10 1.6595e+12 42319
+ LotArea              1 4.0873e+10 1.6616e+12 42321
+ HouseAge             1 4.0146e+10 1.6623e+12 42322
+ LotFrontage          1 3.7859e+10 1.6646e+12 42325
+ GarageFinish_2       1 3.7848e+10 1.6646e+12 42325
+ BsmtFinType1_3       1 3.4353e+10 1.6681e+12 42330
+ RemodelAge           1 2.9584e+10 1.6729e+12 42335
+ GarageYrBlt          1 2.8505e+10 1.6740e+12 42337
+ MSZoning_2           1 2.8089e+10 1.6744e+12 42337
+ BsmtFinType1_2       1 2.5584e+10 1.6769e+12 42340
+ BsmtExposure_2       1 2.2871e+10 1.6796e+12 42344
+ MSSubClass           1 2.1055e+10 1.6814e+12 42346
+ Foundation_2         1 1.7609e+10 1.6849e+12 42350
+ LotShape_2           1 1.7581e+10 1.6849e+12 42350
+ LandSlope_2          1 1.5181e+10 1.6873e+12 42353
+ BldgType_3           1 1.4985e+10 1.6875e+12 42353
+ HeatingQC            1 1.3655e+10 1.6888e+12 42355
+ GarageCond           1 1.3135e+10 1.6894e+12 42356
+ WoodDeckSF           1 1.2600e+10 1.6899e+12 42356
+ BsmtQual             1 1.2505e+10 1.6900e+12 42356
+ GarageQual           1 1.2257e+10 1.6902e+12 42357
+ X1stFlrSF            1 1.2182e+10 1.6903e+12 42357
+ Exterior1st_PreCast  1 1.0804e+10 1.6917e+12 42358
+ GarageType_2         1 1.0612e+10 1.6919e+12 42359
+ MasVnrType_Stone     1 1.0463e+10 1.6920e+12 42359
+ GarageArea           1 9.7127e+09 1.6928e+12 42360
+ X2ndFlrSF            1 9.3553e+09 1.6931e+12 42360
+ ScreenPorch          1 9.0380e+09 1.6935e+12 42361
+ Neighborhood_Tier_2  1 8.4653e+09 1.6940e+12 42361
+ PoolQC               1 8.3372e+09 1.6942e+12 42361
+ Exterior1st_VinylSd  1 7.7380e+09 1.6948e+12 42362
+ BldgType_2           1 7.2116e+09 1.6953e+12 42363
+ BsmtCond             1 7.1145e+09 1.6954e+12 42363
+ HouseStyle_3         1 6.4307e+09 1.6961e+12 42364
+ LowQualFinSF         1 5.1189e+09 1.6974e+12 42365
+ BsmtFinSF2           1 5.1018e+09 1.6974e+12 42365
+ BsmtUnfSF            1 5.1018e+09 1.6974e+12 42365
+ Exterior1st_MetalSd  1 4.5777e+09 1.6979e+12 42366
+ EnclosedPorch        1 4.4660e+09 1.6980e+12 42366
+ BsmtFullBath         1 4.3326e+09 1.6982e+12 42366
+ Exterior1st_Plywood  1 4.1364e+09 1.6984e+12 42367
+ Exterior1st_BrkFace  1 3.9953e+09 1.6985e+12 42367
+ MasVnrType_None      1 3.8722e+09 1.6986e+12 42367
<none>                              1.7025e+12 42368
+ Exterior1st_CemntBd  1 3.1848e+09 1.6993e+12 42368
+ HouseStyle_2         1 3.1532e+09 1.6993e+12 42368
+ PavedDrive_2         1 2.7826e+09 1.6997e+12 42368
+ Exterior1st_AsphShn  1 2.7583e+09 1.6997e+12 42368
+ YrSold               1 1.9977e+09 1.7005e+12 42369
+ TotRmsAbvGrd         1 1.8765e+09 1.7006e+12 42369
+ Exterior1st_Wd.Sdng  1 1.3787e+09 1.7011e+12 42370
+ Condition1_2         1 1.2949e+09 1.7012e+12 42370
+ PoolArea             1 1.2141e+09 1.7013e+12 42370
+ ExterCond            1 1.0162e+09 1.7015e+12 42370
+ CentralAir_Y         1 1.0099e+09 1.7015e+12 42370
+ Exterior1st_Stucco   1 1.0005e+09 1.7015e+12 42370
+ Exterior1st_HdBoard  1 8.3411e+08 1.7017e+12 42371
+ Electrical_2         1 8.1943e+08 1.7017e+12 42371
+ HalfBath             1 7.7318e+08 1.7017e+12 42371
+ Exterior1st_WdShing  1 6.5294e+08 1.7018e+12 42371
+ Utilities_NoSewr     1 4.5125e+08 1.7020e+12 42371
+ Exterior1st_ImStucc  1 3.4473e+08 1.7022e+12 42371
+ MiscVal              1 1.3405e+08 1.7024e+12 42371
+ FullBath             1 1.2546e+08 1.7024e+12 42371
+ X3SsnPorch           1 1.1932e+08 1.7024e+12 42371
+ BsmtHalfBath         1 9.2930e+07 1.7024e+12 42371
+ OpenPorchSF          1 8.1016e+07 1.7024e+12 42371
+ Street_Pave          1 2.6108e+07 1.7025e+12 42372
+ MasVnrType_BrkFace   1 1.0565e+07 1.7025e+12 42372
+ Exterior1st_BrkComm  1 1.4609e+06 1.7025e+12 42372

Step:  AIC=42249.43
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3

                      Df  Sum of Sq        RSS   AIC
+ Neighborhood_Tier_3  1 7.1583e+10 1.5330e+12 42159
+ Functional_2         1 6.5355e+10 1.5392e+12 42168
+ MasVnrArea           1 5.0148e+10 1.5545e+12 42188
+ SaleCondition_2      1 4.8312e+10 1.5563e+12 42190
+ BsmtQual             1 4.3149e+10 1.5615e+12 42197
+ HouseAge             1 4.0236e+10 1.5644e+12 42201
+ FireplaceQu          1 3.6905e+10 1.5677e+12 42205
+ Fireplaces           1 3.4541e+10 1.5701e+12 42208
+ RemodelAge           1 3.3446e+10 1.5712e+12 42210
+ GarageFinish_2       1 3.0132e+10 1.5745e+12 42214
+ GarageYrBlt          1 3.0105e+10 1.5745e+12 42214
+ MSZoning_2           1 2.9503e+10 1.5751e+12 42215
+ BedroomAbvGr         1 2.9047e+10 1.5756e+12 42216
+ LotFrontage          1 2.6901e+10 1.5777e+12 42218
+ Foundation_2         1 2.3263e+10 1.5813e+12 42223
+ LotArea              1 2.0939e+10 1.5837e+12 42226
+ HeatingQC            1 1.8581e+10 1.5860e+12 42229
+ MSSubClass           1 1.8096e+10 1.5865e+12 42230
+ BldgType_3           1 1.5395e+10 1.5892e+12 42233
+ BsmtFinType1_3       1 1.3612e+10 1.5910e+12 42236
+ Exterior1st_VinylSd  1 1.2250e+10 1.5924e+12 42238
+ LotShape_2           1 1.1591e+10 1.5930e+12 42238
+ GarageType_2         1 1.0445e+10 1.5942e+12 42240
+ Neighborhood_Tier_2  1 9.9277e+09 1.5947e+12 42241
+ Exterior1st_Plywood  1 9.7448e+09 1.5949e+12 42241
+ BldgType_2           1 9.1261e+09 1.5955e+12 42242
+ GarageArea           1 9.0745e+09 1.5955e+12 42242
+ MasVnrType_Stone     1 7.6458e+09 1.5970e+12 42243
+ ScreenPorch          1 7.1956e+09 1.5974e+12 42244
+ Exterior1st_PreCast  1 6.8718e+09 1.5977e+12 42244
+ GarageCond           1 6.5899e+09 1.5980e+12 42245
+ GarageQual           1 6.2785e+09 1.5983e+12 42245
+ HalfBath             1 6.2420e+09 1.5984e+12 42245
+ WoodDeckSF           1 5.9117e+09 1.5987e+12 42246
+ PoolQC               1 5.5619e+09 1.5990e+12 42246
+ PavedDrive_2         1 5.4393e+09 1.5992e+12 42246
+ LowQualFinSF         1 5.0921e+09 1.5995e+12 42247
+ EnclosedPorch        1 4.6212e+09 1.6000e+12 42247
+ CentralAir_Y         1 3.4769e+09 1.6011e+12 42249
+ Exterior1st_MetalSd  1 3.0825e+09 1.6015e+12 42249
<none>                              1.6046e+12 42249
+ BsmtFullBath         1 2.9873e+09 1.6016e+12 42250
+ PoolArea             1 2.9231e+09 1.6017e+12 42250
+ MasVnrType_None      1 2.5477e+09 1.6021e+12 42250
+ BsmtCond             1 2.4772e+09 1.6021e+12 42250
+ LandSlope_2          1 2.3965e+09 1.6022e+12 42250
+ Exterior1st_CemntBd  1 2.0266e+09 1.6026e+12 42251
+ Exterior1st_BrkFace  1 1.9575e+09 1.6026e+12 42251
+ Electrical_2         1 1.9431e+09 1.6027e+12 42251
+ HouseStyle_3         1 1.8512e+09 1.6028e+12 42251
+ ExterCond            1 1.8448e+09 1.6028e+12 42251
+ Exterior1st_Wd.Sdng  1 1.7735e+09 1.6028e+12 42251
+ Exterior1st_AsphShn  1 1.7446e+09 1.6029e+12 42251
+ YrSold               1 1.4563e+09 1.6031e+12 42251
+ Utilities_NoSewr     1 1.4393e+09 1.6032e+12 42251
+ BsmtFinSF2           1 1.3312e+09 1.6033e+12 42252
+ BsmtUnfSF            1 1.3312e+09 1.6033e+12 42252
+ Condition1_2         1 1.2839e+09 1.6033e+12 42252
+ Exterior1st_Stucco   1 8.2063e+08 1.6038e+12 42252
+ Street_Pave          1 6.3179e+08 1.6040e+12 42253
+ Exterior1st_WdShing  1 5.9961e+08 1.6040e+12 42253
+ BsmtHalfBath         1 5.3516e+08 1.6041e+12 42253
+ Exterior1st_HdBoard  1 3.7190e+08 1.6042e+12 42253
+ MiscVal              1 2.7314e+08 1.6043e+12 42253
+ TotRmsAbvGrd         1 1.9767e+08 1.6044e+12 42253
+ HouseStyle_2         1 1.8757e+08 1.6044e+12 42253
+ BsmtExposure_2       1 1.3209e+08 1.6045e+12 42253
+ Exterior1st_ImStucc  1 1.2480e+08 1.6045e+12 42253
+ OpenPorchSF          1 8.9716e+07 1.6045e+12 42253
+ X2ndFlrSF            1 4.8735e+07 1.6046e+12 42253
+ Exterior1st_BrkComm  1 4.7955e+07 1.6046e+12 42253
+ X1stFlrSF            1 3.7302e+07 1.6046e+12 42253
+ FullBath             1 3.5612e+07 1.6046e+12 42253
+ X3SsnPorch           1 1.6938e+07 1.6046e+12 42253
+ MasVnrType_BrkFace   1 9.8409e+06 1.6046e+12 42253
+ BsmtFinType1_2       1 2.7020e+06 1.6046e+12 42253

Step:  AIC=42159.24
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3

                      Df  Sum of Sq        RSS   AIC
+ MasVnrArea           1 6.0182e+10 1.4728e+12 42081
+ Functional_2         1 5.8404e+10 1.4746e+12 42083
+ SaleCondition_2      1 4.6020e+10 1.4870e+12 42100
+ FireplaceQu          1 3.3029e+10 1.5000e+12 42118
+ Fireplaces           1 2.9037e+10 1.5040e+12 42124
+ LotFrontage          1 2.7560e+10 1.5055e+12 42126
+ BedroomAbvGr         1 2.6461e+10 1.5066e+12 42127
+ MSSubClass           1 2.4392e+10 1.5086e+12 42130
+ GarageFinish_2       1 2.0637e+10 1.5124e+12 42135
+ BsmtQual             1 1.8461e+10 1.5146e+12 42138
+ BldgType_3           1 1.7163e+10 1.5159e+12 42140
+ Exterior1st_Plywood  1 1.5068e+10 1.5180e+12 42143
+ LotArea              1 1.4346e+10 1.5187e+12 42144
+ RemodelAge           1 1.3821e+10 1.5192e+12 42144
+ BldgType_2           1 1.3300e+10 1.5197e+12 42145
+ Neighborhood_Tier_2  1 1.3255e+10 1.5198e+12 42145
+ GarageArea           1 1.3089e+10 1.5199e+12 42145
+ ScreenPorch          1 1.1410e+10 1.5216e+12 42148
+ MasVnrType_Stone     1 1.0467e+10 1.5226e+12 42149
+ HeatingQC            1 9.9726e+09 1.5230e+12 42150
+ MSZoning_2           1 9.4312e+09 1.5236e+12 42150
+ HouseAge             1 8.4903e+09 1.5245e+12 42152
+ GarageYrBlt          1 7.6406e+09 1.5254e+12 42153
+ Exterior1st_PreCast  1 6.9617e+09 1.5261e+12 42154
+ PoolQC               1 5.1760e+09 1.5278e+12 42156
+ BsmtFinType1_3       1 4.9458e+09 1.5281e+12 42156
+ GarageCond           1 4.8199e+09 1.5282e+12 42157
+ GarageQual           1 4.6962e+09 1.5283e+12 42157
+ Foundation_2         1 4.4497e+09 1.5286e+12 42157
+ Exterior1st_CemntBd  1 4.0886e+09 1.5289e+12 42158
+ MasVnrType_None      1 4.0659e+09 1.5290e+12 42158
+ ExterCond            1 3.8536e+09 1.5292e+12 42158
+ Condition1_2         1 3.8087e+09 1.5292e+12 42158
+ LowQualFinSF         1 3.7502e+09 1.5293e+12 42158
+ Exterior1st_BrkFace  1 3.6229e+09 1.5294e+12 42158
+ PoolArea             1 3.3403e+09 1.5297e+12 42159
+ LotShape_2           1 3.1656e+09 1.5299e+12 42159
+ Exterior1st_VinylSd  1 3.0679e+09 1.5300e+12 42159
<none>                              1.5330e+12 42159
+ GarageType_2         1 2.7870e+09 1.5302e+12 42159
+ WoodDeckSF           1 2.5915e+09 1.5304e+12 42160
+ FullBath             1 2.3190e+09 1.5307e+12 42160
+ Exterior1st_HdBoard  1 2.1446e+09 1.5309e+12 42160
+ HalfBath             1 2.0501e+09 1.5310e+12 42160
+ PavedDrive_2         1 1.9981e+09 1.5310e+12 42160
+ Utilities_NoSewr     1 1.9474e+09 1.5311e+12 42161
+ EnclosedPorch        1 1.6446e+09 1.5314e+12 42161
+ YrSold               1 1.6350e+09 1.5314e+12 42161
+ CentralAir_Y         1 1.6115e+09 1.5314e+12 42161
+ BsmtFullBath         1 1.5698e+09 1.5315e+12 42161
+ Exterior1st_AsphShn  1 1.5454e+09 1.5315e+12 42161
+ Exterior1st_Stucco   1 1.4651e+09 1.5316e+12 42161
+ Exterior1st_WdShing  1 1.3921e+09 1.5316e+12 42161
+ BsmtCond             1 1.2335e+09 1.5318e+12 42161
+ HouseStyle_3         1 1.0048e+09 1.5320e+12 42162
+ X1stFlrSF            1 9.3448e+08 1.5321e+12 42162
+ BsmtFinSF2           1 8.5300e+08 1.5322e+12 42162
+ BsmtUnfSF            1 8.5300e+08 1.5322e+12 42162
+ Street_Pave          1 5.3288e+08 1.5325e+12 42162
+ MiscVal              1 4.2342e+08 1.5326e+12 42163
+ X2ndFlrSF            1 3.5955e+08 1.5327e+12 42163
+ LandSlope_2          1 3.5836e+08 1.5327e+12 42163
+ BsmtHalfBath         1 3.2126e+08 1.5327e+12 42163
+ HouseStyle_2         1 3.0900e+08 1.5327e+12 42163
+ OpenPorchSF          1 1.3506e+08 1.5329e+12 42163
+ Exterior1st_ImStucc  1 1.2041e+08 1.5329e+12 42163
+ BsmtFinType1_2       1 8.4523e+07 1.5329e+12 42163
+ Exterior1st_Wd.Sdng  1 8.2445e+07 1.5329e+12 42163
+ Exterior1st_MetalSd  1 8.1752e+07 1.5329e+12 42163
+ MasVnrType_BrkFace   1 5.1503e+07 1.5330e+12 42163
+ Electrical_2         1 4.4994e+07 1.5330e+12 42163
+ X3SsnPorch           1 3.9518e+07 1.5330e+12 42163
+ BsmtExposure_2       1 2.4052e+07 1.5330e+12 42163
+ TotRmsAbvGrd         1 1.3555e+07 1.5330e+12 42163
+ Exterior1st_BrkComm  1 1.6256e+06 1.5330e+12 42163

Step:  AIC=42080.58
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea

                      Df  Sum of Sq        RSS   AIC
+ Functional_2         1 4.8976e+10 1.4239e+12 42015
+ SaleCondition_2      1 4.5248e+10 1.4276e+12 42020
+ MSSubClass           1 2.9704e+10 1.4431e+12 42042
+ FireplaceQu          1 2.9382e+10 1.4435e+12 42043
+ Fireplaces           1 2.7145e+10 1.4457e+12 42046
+ MasVnrType_BrkFace   1 2.6530e+10 1.4463e+12 42047
+ BedroomAbvGr         1 2.6165e+10 1.4467e+12 42048
+ LotFrontage          1 2.6027e+10 1.4468e+12 42048
+ BldgType_3           1 2.4424e+10 1.4484e+12 42050
+ GarageFinish_2       1 1.9392e+10 1.4534e+12 42057
+ BsmtQual             1 1.8330e+10 1.4545e+12 42059
+ RemodelAge           1 1.7392e+10 1.4554e+12 42060
+ LotArea              1 1.6720e+10 1.4561e+12 42061
+ Exterior1st_Plywood  1 1.4989e+10 1.4578e+12 42063
+ BldgType_2           1 1.4866e+10 1.4580e+12 42064
+ MasVnrType_None      1 1.4674e+10 1.4582e+12 42064
+ GarageArea           1 1.1616e+10 1.4612e+12 42068
+ HeatingQC            1 1.1375e+10 1.4615e+12 42069
+ Neighborhood_Tier_2  1 1.1354e+10 1.4615e+12 42069
+ ScreenPorch          1 1.0819e+10 1.4620e+12 42069
+ MSZoning_2           1 9.5833e+09 1.4633e+12 42071
+ Exterior1st_BrkFace  1 8.7253e+09 1.4641e+12 42072
+ Exterior1st_PreCast  1 7.7402e+09 1.4651e+12 42074
+ MasVnrType_Stone     1 6.6031e+09 1.4662e+12 42075
+ Exterior1st_HdBoard  1 6.5177e+09 1.4663e+12 42075
+ GarageYrBlt          1 5.8380e+09 1.4670e+12 42076
+ Foundation_2         1 5.6801e+09 1.4672e+12 42077
+ PoolQC               1 5.6153e+09 1.4672e+12 42077
+ Exterior1st_CemntBd  1 5.3426e+09 1.4675e+12 42077
+ Condition1_2         1 4.9789e+09 1.4679e+12 42078
+ BsmtFinType1_3       1 4.2195e+09 1.4686e+12 42079
+ ExterCond            1 4.1053e+09 1.4687e+12 42079
+ LotShape_2           1 3.7930e+09 1.4690e+12 42079
+ GarageQual           1 3.6044e+09 1.4692e+12 42079
+ HouseAge             1 3.5892e+09 1.4692e+12 42079
+ GarageCond           1 3.5786e+09 1.4693e+12 42079
+ Exterior1st_VinylSd  1 3.4032e+09 1.4694e+12 42080
+ WoodDeckSF           1 3.2390e+09 1.4696e+12 42080
+ BsmtFullBath         1 2.8100e+09 1.4700e+12 42081
<none>                              1.4728e+12 42081
+ PoolArea             1 2.5819e+09 1.4703e+12 42081
+ GarageType_2         1 2.3924e+09 1.4704e+12 42081
+ LowQualFinSF         1 2.1563e+09 1.4707e+12 42081
+ BsmtCond             1 1.9511e+09 1.4709e+12 42082
+ Utilities_NoSewr     1 1.9117e+09 1.4709e+12 42082
+ FullBath             1 1.8210e+09 1.4710e+12 42082
+ Exterior1st_WdShing  1 1.6793e+09 1.4712e+12 42082
+ Exterior1st_AsphShn  1 1.3554e+09 1.4715e+12 42083
+ CentralAir_Y         1 1.3433e+09 1.4715e+12 42083
+ Exterior1st_Stucco   1 1.2776e+09 1.4716e+12 42083
+ YrSold               1 1.0638e+09 1.4718e+12 42083
+ BsmtFinSF2           1 1.0035e+09 1.4718e+12 42083
+ BsmtUnfSF            1 1.0035e+09 1.4718e+12 42083
+ PavedDrive_2         1 9.4556e+08 1.4719e+12 42083
+ HouseStyle_2         1 8.7214e+08 1.4720e+12 42083
+ HalfBath             1 6.9512e+08 1.4721e+12 42084
+ X1stFlrSF            1 6.0805e+08 1.4722e+12 42084
+ MiscVal              1 5.8277e+08 1.4723e+12 42084
+ LandSlope_2          1 5.4100e+08 1.4723e+12 42084
+ Street_Pave          1 5.1836e+08 1.4723e+12 42084
+ OpenPorchSF          1 5.0562e+08 1.4723e+12 42084
+ HouseStyle_3         1 4.8344e+08 1.4724e+12 42084
+ BsmtHalfBath         1 4.6130e+08 1.4724e+12 42084
+ EnclosedPorch        1 3.9108e+08 1.4724e+12 42084
+ X2ndFlrSF            1 2.5114e+08 1.4726e+12 42084
+ Exterior1st_MetalSd  1 2.3028e+08 1.4726e+12 42084
+ BsmtExposure_2       1 1.7126e+08 1.4727e+12 42084
+ X3SsnPorch           1 1.6074e+08 1.4727e+12 42084
+ Exterior1st_BrkComm  1 3.5015e+07 1.4728e+12 42084
+ Exterior1st_Wd.Sdng  1 2.3219e+07 1.4728e+12 42084
+ Electrical_2         1 1.4475e+07 1.4728e+12 42084
+ Exterior1st_ImStucc  1 7.3781e+06 1.4728e+12 42084
+ TotRmsAbvGrd         1 1.6956e+06 1.4728e+12 42084
+ BsmtFinType1_2       1 1.6304e+06 1.4728e+12 42084

Step:  AIC=42014.75
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2

                      Df  Sum of Sq        RSS   AIC
+ SaleCondition_2      1 4.4968e+10 1.3789e+12 41952
+ BedroomAbvGr         1 3.4647e+10 1.3892e+12 41968
+ MasVnrType_BrkFace   1 3.0843e+10 1.3930e+12 41974
+ MSSubClass           1 3.0827e+10 1.3930e+12 41974
+ FireplaceQu          1 2.9053e+10 1.3948e+12 41976
+ Fireplaces           1 2.8952e+10 1.3949e+12 41976
+ LotFrontage          1 2.6393e+10 1.3975e+12 41980
+ BldgType_3           1 2.4822e+10 1.3990e+12 41982
+ LotArea              1 1.9425e+10 1.4044e+12 41990
+ RemodelAge           1 1.8241e+10 1.4056e+12 41992
+ GarageFinish_2       1 1.7224e+10 1.4066e+12 41994
+ MasVnrType_None      1 1.5015e+10 1.4088e+12 41997
+ Exterior1st_Plywood  1 1.4785e+10 1.4091e+12 41997
+ GarageArea           1 1.3620e+10 1.4102e+12 41999
+ BldgType_2           1 1.3528e+10 1.4103e+12 41999
+ Neighborhood_Tier_2  1 1.1939e+10 1.4119e+12 42001
+ BsmtQual             1 1.1462e+10 1.4124e+12 42002
+ ScreenPorch          1 1.1155e+10 1.4127e+12 42002
+ MSZoning_2           1 1.0301e+10 1.4136e+12 42004
+ HeatingQC            1 1.0141e+10 1.4137e+12 42004
+ MasVnrType_Stone     1 9.4491e+09 1.4144e+12 42005
+ Exterior1st_BrkFace  1 9.0918e+09 1.4148e+12 42005
+ PoolQC               1 8.0930e+09 1.4158e+12 42007
+ Exterior1st_PreCast  1 6.7743e+09 1.4171e+12 42009
+ Exterior1st_HdBoard  1 6.2686e+09 1.4176e+12 42010
+ Exterior1st_CemntBd  1 5.1921e+09 1.4187e+12 42011
+ X1stFlrSF            1 5.0468e+09 1.4188e+12 42011
+ GarageYrBlt          1 4.5932e+09 1.4193e+12 42012
+ HouseStyle_2         1 4.4264e+09 1.4194e+12 42012
+ WoodDeckSF           1 4.1884e+09 1.4197e+12 42013
+ Condition1_2         1 4.1779e+09 1.4197e+12 42013
+ GarageCond           1 4.1628e+09 1.4197e+12 42013
+ X2ndFlrSF            1 4.1239e+09 1.4197e+12 42013
+ BsmtFullBath         1 3.9782e+09 1.4199e+12 42013
+ GarageQual           1 3.9268e+09 1.4199e+12 42013
+ BsmtFinType1_3       1 3.5873e+09 1.4203e+12 42013
+ LotShape_2           1 3.4137e+09 1.4204e+12 42014
+ Foundation_2         1 3.1044e+09 1.4208e+12 42014
<none>                              1.4239e+12 42015
+ FullBath             1 2.5026e+09 1.4214e+12 42015
+ ExterCond            1 2.4229e+09 1.4214e+12 42015
+ Exterior1st_VinylSd  1 2.3615e+09 1.4215e+12 42015
+ HouseAge             1 2.3442e+09 1.4215e+12 42015
+ BsmtFinSF2           1 2.1593e+09 1.4217e+12 42016
+ BsmtUnfSF            1 2.1593e+09 1.4217e+12 42016
+ Exterior1st_WdShing  1 2.1411e+09 1.4217e+12 42016
+ LandSlope_2          1 1.4849e+09 1.4224e+12 42017
+ BsmtFinType1_2       1 1.2333e+09 1.4226e+12 42017
+ Exterior1st_Stucco   1 1.2043e+09 1.4227e+12 42017
+ Exterior1st_AsphShn  1 1.0481e+09 1.4228e+12 42017
+ LowQualFinSF         1 1.0385e+09 1.4228e+12 42017
+ GarageType_2         1 1.0127e+09 1.4228e+12 42017
+ YrSold               1 8.6278e+08 1.4230e+12 42017
+ PoolArea             1 8.4197e+08 1.4230e+12 42017
+ MiscVal              1 7.9733e+08 1.4231e+12 42018
+ Exterior1st_BrkComm  1 7.2312e+08 1.4231e+12 42018
+ BsmtHalfBath         1 6.8111e+08 1.4232e+12 42018
+ OpenPorchSF          1 5.3677e+08 1.4233e+12 42018
+ Street_Pave          1 4.4221e+08 1.4234e+12 42018
+ BsmtExposure_2       1 3.6872e+08 1.4235e+12 42018
+ Utilities_NoSewr     1 3.6010e+08 1.4235e+12 42018
+ PavedDrive_2         1 3.5120e+08 1.4235e+12 42018
+ HouseStyle_3         1 3.0399e+08 1.4236e+12 42018
+ Exterior1st_MetalSd  1 2.7716e+08 1.4236e+12 42018
+ X3SsnPorch           1 2.6952e+08 1.4236e+12 42018
+ EnclosedPorch        1 2.6409e+08 1.4236e+12 42018
+ CentralAir_Y         1 2.5514e+08 1.4236e+12 42018
+ BsmtCond             1 1.7628e+08 1.4237e+12 42018
+ Exterior1st_Wd.Sdng  1 1.6505e+08 1.4237e+12 42018
+ TotRmsAbvGrd         1 5.5051e+07 1.4238e+12 42019
+ HalfBath             1 9.0664e+06 1.4239e+12 42019
+ Exterior1st_ImStucc  1 8.1611e+06 1.4239e+12 42019
+ Electrical_2         1 1.1159e+06 1.4239e+12 42019

Step:  AIC=41952.49
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2

                      Df  Sum of Sq        RSS   AIC
+ BedroomAbvGr         1 3.1650e+10 1.3472e+12 41909
+ Fireplaces           1 3.1260e+10 1.3476e+12 41909
+ MSSubClass           1 3.0361e+10 1.3485e+12 41910
+ FireplaceQu          1 2.8833e+10 1.3501e+12 41913
+ MasVnrType_BrkFace   1 2.7983e+10 1.3509e+12 41914
+ LotFrontage          1 2.4967e+10 1.3539e+12 41919
+ BldgType_3           1 2.3705e+10 1.3552e+12 41921
+ LotArea              1 1.9700e+10 1.3592e+12 41927
+ MasVnrType_None      1 1.5416e+10 1.3635e+12 41933
+ RemodelAge           1 1.5093e+10 1.3638e+12 41934
+ GarageFinish_2       1 1.5037e+10 1.3639e+12 41934
+ BldgType_2           1 1.4317e+10 1.3646e+12 41935
+ Exterior1st_Plywood  1 1.3647e+10 1.3652e+12 41936
+ ScreenPorch          1 1.1899e+10 1.3670e+12 41939
+ MSZoning_2           1 1.1022e+10 1.3679e+12 41940
+ GarageArea           1 1.0987e+10 1.3679e+12 41940
+ Exterior1st_BrkFace  1 1.0047e+10 1.3688e+12 41941
+ BsmtQual             1 9.9750e+09 1.3689e+12 41941
+ HeatingQC            1 9.4558e+09 1.3694e+12 41942
+ PoolQC               1 8.6759e+09 1.3702e+12 41943
+ Neighborhood_Tier_2  1 8.3177e+09 1.3706e+12 41944
+ MasVnrType_Stone     1 6.7751e+09 1.3721e+12 41946
+ Exterior1st_PreCast  1 6.5482e+09 1.3723e+12 41947
+ WoodDeckSF           1 5.1208e+09 1.3738e+12 41949
+ Exterior1st_HdBoard  1 4.8812e+09 1.3740e+12 41949
+ X1stFlrSF            1 4.2459e+09 1.3746e+12 41950
+ HouseStyle_2         1 4.2443e+09 1.3747e+12 41950
+ LotShape_2           1 4.2119e+09 1.3747e+12 41950
+ BsmtFullBath         1 4.2008e+09 1.3747e+12 41950
+ Condition1_2         1 3.6235e+09 1.3753e+12 41951
+ Exterior1st_CemntBd  1 3.5465e+09 1.3753e+12 41951
+ BsmtFinSF2           1 3.5018e+09 1.3754e+12 41951
+ BsmtUnfSF            1 3.5018e+09 1.3754e+12 41951
+ BsmtFinType1_3       1 3.4880e+09 1.3754e+12 41951
+ X2ndFlrSF            1 3.4194e+09 1.3755e+12 41951
+ ExterCond            1 3.4067e+09 1.3755e+12 41951
+ FullBath             1 3.1743e+09 1.3757e+12 41952
+ GarageCond           1 3.1644e+09 1.3757e+12 41952
+ GarageQual           1 2.9261e+09 1.3760e+12 41952
+ GarageYrBlt          1 2.8375e+09 1.3761e+12 41952
<none>                              1.3789e+12 41952
+ Foundation_2         1 2.0647e+09 1.3768e+12 41953
+ Exterior1st_WdShing  1 1.8890e+09 1.3770e+12 41954
+ LandSlope_2          1 1.6615e+09 1.3772e+12 41954
+ Exterior1st_VinylSd  1 1.4160e+09 1.3775e+12 41954
+ Exterior1st_Stucco   1 1.3940e+09 1.3775e+12 41954
+ HouseAge             1 1.1351e+09 1.3778e+12 41955
+ LowQualFinSF         1 1.0131e+09 1.3779e+12 41955
+ GarageType_2         1 1.0087e+09 1.3779e+12 41955
+ Exterior1st_AsphShn  1 8.9263e+08 1.3780e+12 41955
+ MiscVal              1 8.4371e+08 1.3781e+12 41955
+ PoolArea             1 7.4868e+08 1.3781e+12 41955
+ Exterior1st_BrkComm  1 7.1842e+08 1.3782e+12 41955
+ BsmtFinType1_2       1 6.9315e+08 1.3782e+12 41955
+ BsmtHalfBath         1 5.7343e+08 1.3783e+12 41956
+ Street_Pave          1 4.7426e+08 1.3784e+12 41956
+ CentralAir_Y         1 4.2937e+08 1.3785e+12 41956
+ PavedDrive_2         1 3.9449e+08 1.3785e+12 41956
+ Utilities_NoSewr     1 3.8843e+08 1.3785e+12 41956
+ HouseStyle_3         1 3.4652e+08 1.3785e+12 41956
+ Exterior1st_Wd.Sdng  1 2.6828e+08 1.3786e+12 41956
+ Exterior1st_MetalSd  1 2.3213e+08 1.3787e+12 41956
+ BsmtCond             1 2.2527e+08 1.3787e+12 41956
+ OpenPorchSF          1 2.0474e+08 1.3787e+12 41956
+ EnclosedPorch        1 1.8630e+08 1.3787e+12 41956
+ BsmtExposure_2       1 1.3130e+08 1.3788e+12 41956
+ TotRmsAbvGrd         1 1.1532e+08 1.3788e+12 41956
+ X3SsnPorch           1 9.8914e+07 1.3788e+12 41956
+ HalfBath             1 6.7376e+07 1.3788e+12 41956
+ YrSold               1 1.0972e+07 1.3789e+12 41956
+ Electrical_2         1 2.0113e+06 1.3789e+12 41956
+ Exterior1st_ImStucc  1 4.6820e+05 1.3789e+12 41956

Step:  AIC=41908.53
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr

                      Df  Sum of Sq        RSS   AIC
+ MSSubClass           1 4.0234e+10 1.3070e+12 41850
+ LotFrontage          1 3.2095e+10 1.3152e+12 41863
+ BldgType_2           1 2.7130e+10 1.3201e+12 41870
+ MasVnrType_BrkFace   1 2.3459e+10 1.3238e+12 41876
+ Fireplaces           1 2.3243e+10 1.3240e+12 41877
+ BldgType_3           1 2.2607e+10 1.3246e+12 41878
+ LotArea              1 2.1295e+10 1.3259e+12 41880
+ FireplaceQu          1 2.1220e+10 1.3260e+12 41880
+ MSZoning_2           1 1.9167e+10 1.3281e+12 41883
+ RemodelAge           1 1.5156e+10 1.3321e+12 41889
+ Exterior1st_Plywood  1 1.4204e+10 1.3330e+12 41891
+ GarageFinish_2       1 1.2998e+10 1.3342e+12 41892
+ MasVnrType_None      1 1.1595e+10 1.3357e+12 41895
+ GarageArea           1 1.0754e+10 1.3365e+12 41896
+ ScreenPorch          1 1.0637e+10 1.3366e+12 41896
+ HeatingQC            1 9.2314e+09 1.3380e+12 41898
+ Exterior1st_BrkFace  1 9.0267e+09 1.3382e+12 41899
+ BsmtQual             1 8.0128e+09 1.3392e+12 41900
+ MasVnrType_Stone     1 6.8715e+09 1.3404e+12 41902
+ Neighborhood_Tier_2  1 6.5945e+09 1.3407e+12 41902
+ PoolQC               1 6.2326e+09 1.3410e+12 41903
+ TotRmsAbvGrd         1 6.1898e+09 1.3411e+12 41903
+ Exterior1st_PreCast  1 5.6379e+09 1.3416e+12 41904
+ WoodDeckSF           1 4.8190e+09 1.3424e+12 41905
+ LotShape_2           1 4.7073e+09 1.3425e+12 41905
+ ExterCond            1 3.9491e+09 1.3433e+12 41906
+ Condition1_2         1 3.7792e+09 1.3435e+12 41907
+ Exterior1st_CemntBd  1 3.2733e+09 1.3440e+12 41907
+ GarageYrBlt          1 3.1971e+09 1.3440e+12 41908
+ BsmtFullBath         1 3.1931e+09 1.3441e+12 41908
+ BsmtFinSF2           1 3.1238e+09 1.3441e+12 41908
+ BsmtUnfSF            1 3.1238e+09 1.3441e+12 41908
+ GarageQual           1 3.1117e+09 1.3441e+12 41908
+ GarageCond           1 3.0348e+09 1.3442e+12 41908
+ HouseStyle_2         1 2.7601e+09 1.3445e+12 41908
+ HouseAge             1 2.6057e+09 1.3446e+12 41908
<none>                              1.3472e+12 41909
+ Exterior1st_VinylSd  1 2.4879e+09 1.3448e+12 41909
+ Exterior1st_HdBoard  1 2.1260e+09 1.3451e+12 41909
+ BsmtFinType1_3       1 2.1116e+09 1.3451e+12 41909
+ X1stFlrSF            1 1.9593e+09 1.3453e+12 41909
+ LowQualFinSF         1 1.7478e+09 1.3455e+12 41910
+ CentralAir_Y         1 1.7268e+09 1.3455e+12 41910
+ Foundation_2         1 1.4636e+09 1.3458e+12 41910
+ FullBath             1 1.3613e+09 1.3459e+12 41910
+ PavedDrive_2         1 1.3446e+09 1.3459e+12 41910
+ X2ndFlrSF            1 1.2927e+09 1.3460e+12 41910
+ Exterior1st_WdShing  1 1.2215e+09 1.3460e+12 41911
+ GarageType_2         1 1.1382e+09 1.3461e+12 41911
+ PoolArea             1 1.0661e+09 1.3462e+12 41911
+ Exterior1st_MetalSd  1 9.2177e+08 1.3463e+12 41911
+ LandSlope_2          1 9.0955e+08 1.3463e+12 41911
+ Exterior1st_Stucco   1 8.7759e+08 1.3464e+12 41911
+ MiscVal              1 8.0788e+08 1.3464e+12 41911
+ Exterior1st_AsphShn  1 7.5607e+08 1.3465e+12 41911
+ Street_Pave          1 7.4097e+08 1.3465e+12 41911
+ HouseStyle_3         1 7.3807e+08 1.3465e+12 41911
+ BsmtFinType1_2       1 5.8756e+08 1.3467e+12 41912
+ Utilities_NoSewr     1 5.6956e+08 1.3467e+12 41912
+ Electrical_2         1 5.1043e+08 1.3467e+12 41912
+ BsmtCond             1 4.0802e+08 1.3468e+12 41912
+ Exterior1st_BrkComm  1 4.0303e+08 1.3468e+12 41912
+ EnclosedPorch        1 2.8302e+08 1.3470e+12 41912
+ BsmtHalfBath         1 1.0524e+08 1.3471e+12 41912
+ HalfBath             1 9.1888e+07 1.3472e+12 41912
+ BsmtExposure_2       1 8.4270e+07 1.3472e+12 41912
+ Exterior1st_Wd.Sdng  1 7.3876e+07 1.3472e+12 41912
+ OpenPorchSF          1 5.1548e+07 1.3472e+12 41912
+ Exterior1st_ImStucc  1 2.1043e+07 1.3472e+12 41912
+ X3SsnPorch           1 4.2742e+05 1.3472e+12 41912
+ YrSold               1 5.9880e+03 1.3472e+12 41912

Step:  AIC=41849.92
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass

                      Df  Sum of Sq        RSS   AIC
+ BsmtQual             1 2.3732e+10 1.2833e+12 41816
+ MasVnrType_BrkFace   1 2.2695e+10 1.2843e+12 41818
+ Fireplaces           1 2.2005e+10 1.2850e+12 41819
+ FireplaceQu          1 2.0124e+10 1.2869e+12 41822
+ RemodelAge           1 1.8624e+10 1.2884e+12 41824
+ GarageFinish_2       1 1.4289e+10 1.2927e+12 41831
+ LotArea              1 1.3326e+10 1.2937e+12 41833
+ LotFrontage          1 1.1221e+10 1.2958e+12 41836
+ Exterior1st_CemntBd  1 1.0761e+10 1.2963e+12 41837
+ MasVnrType_None      1 1.0452e+10 1.2966e+12 41837
+ Exterior1st_Plywood  1 1.0278e+10 1.2967e+12 41838
+ ScreenPorch          1 9.8206e+09 1.2972e+12 41838
+ Neighborhood_Tier_2  1 9.7358e+09 1.2973e+12 41838
+ HeatingQC            1 8.6460e+09 1.2984e+12 41840
+ MasVnrType_Stone     1 8.2777e+09 1.2987e+12 41841
+ Exterior1st_BrkFace  1 7.8326e+09 1.2992e+12 41841
+ MSZoning_2           1 7.3777e+09 1.2996e+12 41842
+ GarageArea           1 7.1767e+09 1.2998e+12 41842
+ GarageYrBlt          1 7.0909e+09 1.2999e+12 41843
+ HouseStyle_3         1 7.0713e+09 1.2999e+12 41843
+ HouseAge             1 5.8533e+09 1.3012e+12 41845
+ Exterior1st_PreCast  1 5.4699e+09 1.3015e+12 41845
+ WoodDeckSF           1 5.3876e+09 1.3016e+12 41845
+ PoolQC               1 4.8854e+09 1.3021e+12 41846
+ BsmtFullBath         1 4.6890e+09 1.3023e+12 41846
+ GarageCond           1 3.8267e+09 1.3032e+12 41848
+ BldgType_2           1 3.8171e+09 1.3032e+12 41848
+ BsmtFinType1_3       1 3.6224e+09 1.3034e+12 41848
+ GarageQual           1 3.5958e+09 1.3034e+12 41848
+ BsmtCond             1 3.3483e+09 1.3037e+12 41849
+ TotRmsAbvGrd         1 3.3073e+09 1.3037e+12 41849
+ Condition1_2         1 3.0025e+09 1.3040e+12 41849
+ BsmtFinSF2           1 2.8213e+09 1.3042e+12 41849
+ BsmtUnfSF            1 2.8213e+09 1.3042e+12 41849
+ LotShape_2           1 2.8168e+09 1.3042e+12 41849
+ Foundation_2         1 2.7375e+09 1.3043e+12 41850
<none>                              1.3070e+12 41850
+ PavedDrive_2         1 2.2972e+09 1.3047e+12 41850
+ CentralAir_Y         1 2.1129e+09 1.3049e+12 41850
+ ExterCond            1 2.0704e+09 1.3049e+12 41851
+ BsmtExposure_2       1 1.9505e+09 1.3051e+12 41851
+ Electrical_2         1 1.8114e+09 1.3052e+12 41851
+ BldgType_3           1 1.7312e+09 1.3053e+12 41851
+ Exterior1st_HdBoard  1 1.6873e+09 1.3053e+12 41851
+ LowQualFinSF         1 1.5663e+09 1.3054e+12 41851
+ PoolArea             1 1.2791e+09 1.3057e+12 41852
+ HalfBath             1 9.1793e+08 1.3061e+12 41852
+ BsmtFinType1_2       1 8.5433e+08 1.3062e+12 41852
+ Exterior1st_AsphShn  1 8.3712e+08 1.3062e+12 41853
+ Utilities_NoSewr     1 7.4871e+08 1.3063e+12 41853
+ Exterior1st_VinylSd  1 7.3433e+08 1.3063e+12 41853
+ Exterior1st_WdShing  1 6.8183e+08 1.3063e+12 41853
+ Street_Pave          1 5.9286e+08 1.3064e+12 41853
+ LandSlope_2          1 5.6232e+08 1.3064e+12 41853
+ X2ndFlrSF            1 5.3694e+08 1.3065e+12 41853
+ MiscVal              1 4.6504e+08 1.3065e+12 41853
+ Exterior1st_Stucco   1 4.5952e+08 1.3066e+12 41853
+ EnclosedPorch        1 4.1021e+08 1.3066e+12 41853
+ Exterior1st_MetalSd  1 3.0253e+08 1.3067e+12 41853
+ GarageType_2         1 2.5714e+08 1.3068e+12 41853
+ Exterior1st_BrkComm  1 2.4814e+08 1.3068e+12 41853
+ X1stFlrSF            1 2.4310e+08 1.3068e+12 41853
+ FullBath             1 2.3683e+08 1.3068e+12 41853
+ Exterior1st_Wd.Sdng  1 7.5601e+07 1.3069e+12 41854
+ Exterior1st_ImStucc  1 6.8996e+07 1.3069e+12 41854
+ X3SsnPorch           1 6.7606e+07 1.3069e+12 41854
+ YrSold               1 6.7219e+07 1.3069e+12 41854
+ HouseStyle_2         1 6.1298e+07 1.3069e+12 41854
+ OpenPorchSF          1 2.5593e+07 1.3070e+12 41854
+ BsmtHalfBath         1 4.6840e+03 1.3070e+12 41854

Step:  AIC=41816.05
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual

                      Df  Sum of Sq        RSS   AIC
+ Fireplaces           1 2.2823e+10 1.2605e+12 41783
+ MasVnrType_BrkFace   1 2.2475e+10 1.2608e+12 41784
+ FireplaceQu          1 2.0208e+10 1.2631e+12 41787
+ LotArea              1 1.4712e+10 1.2686e+12 41796
+ Exterior1st_BrkFace  1 1.2383e+10 1.2709e+12 41800
+ RemodelAge           1 1.2035e+10 1.2712e+12 41801
+ LotFrontage          1 1.1220e+10 1.2721e+12 41802
+ MasVnrType_None      1 1.0803e+10 1.2725e+12 41803
+ ScreenPorch          1 1.0471e+10 1.2728e+12 41803
+ GarageArea           1 9.9907e+09 1.2733e+12 41804
+ Exterior1st_CemntBd  1 9.7286e+09 1.2735e+12 41804
+ GarageFinish_2       1 9.2803e+09 1.2740e+12 41805
+ Neighborhood_Tier_2  1 8.3121e+09 1.2750e+12 41807
+ Exterior1st_Plywood  1 8.0943e+09 1.2752e+12 41807
+ MSZoning_2           1 7.9762e+09 1.2753e+12 41807
+ MasVnrType_Stone     1 7.2908e+09 1.2760e+12 41808
+ BsmtFinType1_2       1 6.6207e+09 1.2767e+12 41809
+ HeatingQC            1 6.2417e+09 1.2770e+12 41810
+ Exterior1st_PreCast  1 5.3760e+09 1.2779e+12 41811
+ PoolQC               1 5.1441e+09 1.2781e+12 41812
+ HouseStyle_3         1 4.5250e+09 1.2788e+12 41813
+ BsmtFinType1_3       1 4.0631e+09 1.2792e+12 41813
+ BsmtFullBath         1 3.4970e+09 1.2798e+12 41814
+ WoodDeckSF           1 3.4220e+09 1.2799e+12 41814
+ BsmtExposure_2       1 3.3194e+09 1.2800e+12 41815
+ TotRmsAbvGrd         1 3.2816e+09 1.2800e+12 41815
+ BsmtFinSF2           1 3.1906e+09 1.2801e+12 41815
+ BsmtUnfSF            1 3.1906e+09 1.2801e+12 41815
+ BldgType_2           1 2.9481e+09 1.2803e+12 41815
+ ExterCond            1 2.8427e+09 1.2804e+12 41815
+ Condition1_2         1 2.5481e+09 1.2807e+12 41816
+ GarageCond           1 2.5319e+09 1.2807e+12 41816
<none>                              1.2833e+12 41816
+ GarageYrBlt          1 2.4259e+09 1.2809e+12 41816
+ GarageQual           1 2.2630e+09 1.2810e+12 41816
+ LotShape_2           1 1.7994e+09 1.2815e+12 41817
+ Exterior1st_HdBoard  1 1.7639e+09 1.2815e+12 41817
+ PavedDrive_2         1 1.5639e+09 1.2817e+12 41817
+ LowQualFinSF         1 1.4523e+09 1.2818e+12 41818
+ HouseAge             1 1.4145e+09 1.2819e+12 41818
+ Electrical_2         1 1.1799e+09 1.2821e+12 41818
+ X1stFlrSF            1 1.1532e+09 1.2821e+12 41818
+ CentralAir_Y         1 1.1088e+09 1.2822e+12 41818
+ Exterior1st_Stucco   1 1.0402e+09 1.2822e+12 41818
+ PoolArea             1 9.8189e+08 1.2823e+12 41818
+ BldgType_3           1 9.7238e+08 1.2823e+12 41818
+ Exterior1st_AsphShn  1 8.8935e+08 1.2824e+12 41819
+ FullBath             1 6.8924e+08 1.2826e+12 41819
+ X2ndFlrSF            1 6.5887e+08 1.2826e+12 41819
+ BsmtCond             1 6.2527e+08 1.2827e+12 41819
+ HouseStyle_2         1 5.7433e+08 1.2827e+12 41819
+ Exterior1st_WdShing  1 5.1165e+08 1.2828e+12 41819
+ Exterior1st_BrkComm  1 4.7853e+08 1.2828e+12 41819
+ MiscVal              1 4.4895e+08 1.2828e+12 41819
+ Utilities_NoSewr     1 4.0224e+08 1.2829e+12 41819
+ Street_Pave          1 3.7039e+08 1.2829e+12 41819
+ Foundation_2         1 3.4891e+08 1.2829e+12 41819
+ LandSlope_2          1 1.8687e+08 1.2831e+12 41820
+ YrSold               1 1.1047e+08 1.2832e+12 41820
+ EnclosedPorch        1 1.1017e+08 1.2832e+12 41820
+ Exterior1st_MetalSd  1 7.7148e+07 1.2832e+12 41820
+ X3SsnPorch           1 4.4941e+07 1.2832e+12 41820
+ GarageType_2         1 2.5663e+07 1.2833e+12 41820
+ Exterior1st_Wd.Sdng  1 2.4738e+07 1.2833e+12 41820
+ Exterior1st_ImStucc  1 2.4295e+07 1.2833e+12 41820
+ HalfBath             1 9.6741e+06 1.2833e+12 41820
+ BsmtHalfBath         1 6.4554e+06 1.2833e+12 41820
+ OpenPorchSF          1 5.2658e+06 1.2833e+12 41820
+ Exterior1st_VinylSd  1 1.6440e+05 1.2833e+12 41820

Step:  AIC=41782.96
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces

                      Df  Sum of Sq        RSS   AIC
+ MasVnrType_BrkFace   1 2.3083e+10 1.2374e+12 41749
+ RemodelAge           1 1.5152e+10 1.2453e+12 41762
+ GarageArea           1 1.3161e+10 1.2473e+12 41765
+ MasVnrType_None      1 1.2801e+10 1.2477e+12 41766
+ Neighborhood_Tier_2  1 1.2086e+10 1.2484e+12 41767
+ LotArea              1 1.1716e+10 1.2487e+12 41768
+ Exterior1st_CemntBd  1 1.0703e+10 1.2498e+12 41769
+ Exterior1st_Plywood  1 1.0355e+10 1.2501e+12 41770
+ LotFrontage          1 9.9075e+09 1.2505e+12 41771
+ Exterior1st_BrkFace  1 9.6527e+09 1.2508e+12 41771
+ BsmtFinType1_2       1 7.4006e+09 1.2531e+12 41775
+ GarageFinish_2       1 7.0404e+09 1.2534e+12 41775
+ HeatingQC            1 6.9699e+09 1.2535e+12 41775
+ ScreenPorch          1 6.8235e+09 1.2536e+12 41776
+ BsmtFinType1_3       1 6.5130e+09 1.2539e+12 41776
+ MasVnrType_Stone     1 6.0871e+09 1.2544e+12 41777
+ MSZoning_2           1 6.0786e+09 1.2544e+12 41777
+ GarageYrBlt          1 5.5579e+09 1.2549e+12 41778
+ PoolQC               1 4.6574e+09 1.2558e+12 41779
+ Exterior1st_PreCast  1 4.5381e+09 1.2559e+12 41779
+ GarageCond           1 3.8996e+09 1.2566e+12 41780
+ BsmtExposure_2       1 3.7905e+09 1.2567e+12 41781
+ BsmtFullBath         1 3.6591e+09 1.2568e+12 41781
+ GarageQual           1 3.6167e+09 1.2568e+12 41781
+ BldgType_2           1 3.5979e+09 1.2569e+12 41781
+ HouseStyle_3         1 3.3287e+09 1.2571e+12 41781
+ TotRmsAbvGrd         1 2.7959e+09 1.2577e+12 41782
+ ExterCond            1 2.5471e+09 1.2579e+12 41783
+ WoodDeckSF           1 2.5167e+09 1.2579e+12 41783
+ BsmtFinSF2           1 2.3919e+09 1.2581e+12 41783
+ BsmtUnfSF            1 2.3919e+09 1.2581e+12 41783
<none>                              1.2605e+12 41783
+ Condition1_2         1 2.2343e+09 1.2582e+12 41783
+ HouseAge             1 2.1180e+09 1.2583e+12 41783
+ Exterior1st_HdBoard  1 1.7066e+09 1.2587e+12 41784
+ PoolArea             1 1.5283e+09 1.2589e+12 41784
+ Foundation_2         1 1.2921e+09 1.2592e+12 41785
+ LotShape_2           1 1.2496e+09 1.2592e+12 41785
+ LowQualFinSF         1 1.1451e+09 1.2593e+12 41785
+ FireplaceQu          1 1.1122e+09 1.2593e+12 41785
+ PavedDrive_2         1 1.1025e+09 1.2594e+12 41785
+ BsmtCond             1 9.7546e+08 1.2595e+12 41785
+ Electrical_2         1 9.5330e+08 1.2595e+12 41785
+ Exterior1st_AsphShn  1 8.8063e+08 1.2596e+12 41785
+ Exterior1st_BrkComm  1 6.9296e+08 1.2598e+12 41786
+ Exterior1st_Stucco   1 6.7041e+08 1.2598e+12 41786
+ CentralAir_Y         1 6.3002e+08 1.2598e+12 41786
+ Utilities_NoSewr     1 5.7522e+08 1.2599e+12 41786
+ MiscVal              1 5.4039e+08 1.2599e+12 41786
+ Street_Pave          1 4.2015e+08 1.2600e+12 41786
+ FullBath             1 3.6942e+08 1.2601e+12 41786
+ BldgType_3           1 3.6020e+08 1.2601e+12 41786
+ X1stFlrSF            1 3.2842e+08 1.2601e+12 41786
+ HouseStyle_2         1 2.2811e+08 1.2602e+12 41786
+ Exterior1st_WdShing  1 2.1951e+08 1.2602e+12 41787
+ Exterior1st_Wd.Sdng  1 1.8519e+08 1.2603e+12 41787
+ EnclosedPorch        1 1.6338e+08 1.2603e+12 41787
+ Exterior1st_VinylSd  1 1.4582e+08 1.2603e+12 41787
+ GarageType_2         1 1.4019e+08 1.2603e+12 41787
+ BsmtHalfBath         1 1.3634e+08 1.2603e+12 41787
+ X2ndFlrSF            1 1.1812e+08 1.2603e+12 41787
+ YrSold               1 4.7984e+07 1.2604e+12 41787
+ LandSlope_2          1 3.2960e+07 1.2604e+12 41787
+ X3SsnPorch           1 2.8565e+07 1.2604e+12 41787
+ Exterior1st_ImStucc  1 1.9775e+07 1.2604e+12 41787
+ Exterior1st_MetalSd  1 1.8408e+06 1.2605e+12 41787
+ HalfBath             1 1.5354e+05 1.2605e+12 41787
+ OpenPorchSF          1 2.5020e+03 1.2605e+12 41787

Step:  AIC=41748.76
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace

                      Df  Sum of Sq        RSS   AIC
+ RemodelAge           1 1.6710e+10 1.2207e+12 41725
+ Neighborhood_Tier_2  1 1.2441e+10 1.2249e+12 41732
+ GarageArea           1 1.1577e+10 1.2258e+12 41733
+ LotArea              1 9.9718e+09 1.2274e+12 41736
+ LotFrontage          1 9.8704e+09 1.2275e+12 41736
+ Exterior1st_Plywood  1 9.6801e+09 1.2277e+12 41736
+ MSZoning_2           1 8.6970e+09 1.2287e+12 41738
+ GarageYrBlt          1 8.1005e+09 1.2293e+12 41739
+ Exterior1st_CemntBd  1 8.0846e+09 1.2293e+12 41739
+ BsmtFinType1_3       1 7.7622e+09 1.2296e+12 41740
+ GarageFinish_2       1 7.5972e+09 1.2298e+12 41740
+ Exterior1st_BrkFace  1 7.5963e+09 1.2298e+12 41740
+ ScreenPorch          1 7.3623e+09 1.2300e+12 41740
+ BsmtFinType1_2       1 7.3582e+09 1.2300e+12 41740
+ HeatingQC            1 7.2590e+09 1.2301e+12 41741
+ HouseAge             1 5.5551e+09 1.2318e+12 41743
+ HouseStyle_3         1 5.5127e+09 1.2319e+12 41743
+ Exterior1st_PreCast  1 4.4298e+09 1.2329e+12 41745
+ PoolQC               1 4.2843e+09 1.2331e+12 41746
+ BsmtExposure_2       1 4.0671e+09 1.2333e+12 41746
+ BsmtFullBath         1 3.9876e+09 1.2334e+12 41746
+ GarageCond           1 3.2320e+09 1.2341e+12 41747
+ GarageQual           1 3.0198e+09 1.2344e+12 41748
+ WoodDeckSF           1 2.8530e+09 1.2345e+12 41748
+ BldgType_2           1 2.7658e+09 1.2346e+12 41748
+ BsmtFinSF2           1 2.6169e+09 1.2348e+12 41748
+ BsmtUnfSF            1 2.6169e+09 1.2348e+12 41748
+ TotRmsAbvGrd         1 2.6136e+09 1.2348e+12 41748
+ Condition1_2         1 2.4814e+09 1.2349e+12 41749
+ ExterCond            1 2.4575e+09 1.2349e+12 41749
+ PavedDrive_2         1 2.4112e+09 1.2350e+12 41749
<none>                              1.2374e+12 41749
+ Electrical_2         1 1.7431e+09 1.2356e+12 41750
+ LotShape_2           1 1.6711e+09 1.2357e+12 41750
+ LowQualFinSF         1 1.4269e+09 1.2359e+12 41750
+ PoolArea             1 1.2184e+09 1.2362e+12 41751
+ Foundation_2         1 1.2180e+09 1.2362e+12 41751
+ CentralAir_Y         1 1.1161e+09 1.2363e+12 41751
+ FireplaceQu          1 1.0434e+09 1.2363e+12 41751
+ Exterior1st_AsphShn  1 8.3830e+08 1.2365e+12 41751
+ BsmtCond             1 7.5623e+08 1.2366e+12 41751
+ MiscVal              1 6.6207e+08 1.2367e+12 41752
+ Utilities_NoSewr     1 6.2219e+08 1.2368e+12 41752
+ Exterior1st_BrkComm  1 6.1305e+08 1.2368e+12 41752
+ X1stFlrSF            1 5.9196e+08 1.2368e+12 41752
+ Exterior1st_Stucco   1 4.7337e+08 1.2369e+12 41752
+ EnclosedPorch        1 4.6959e+08 1.2369e+12 41752
+ BldgType_3           1 4.4305e+08 1.2369e+12 41752
+ Exterior1st_HdBoard  1 4.2594e+08 1.2369e+12 41752
+ Exterior1st_Wd.Sdng  1 3.6284e+08 1.2370e+12 41752
+ Street_Pave          1 3.6154e+08 1.2370e+12 41752
+ X2ndFlrSF            1 2.6148e+08 1.2371e+12 41752
+ Exterior1st_WdShing  1 2.4625e+08 1.2371e+12 41752
+ MasVnrType_Stone     1 2.2531e+08 1.2371e+12 41752
+ HouseStyle_2         1 2.0784e+08 1.2372e+12 41752
+ YrSold               1 2.0624e+08 1.2372e+12 41752
+ GarageType_2         1 1.9908e+08 1.2372e+12 41752
+ Exterior1st_VinylSd  1 1.4271e+08 1.2372e+12 41752
+ HalfBath             1 8.0824e+07 1.2373e+12 41753
+ FullBath             1 7.9913e+07 1.2373e+12 41753
+ BsmtHalfBath         1 7.1681e+07 1.2373e+12 41753
+ Exterior1st_ImStucc  1 3.9289e+07 1.2373e+12 41753
+ X3SsnPorch           1 1.3580e+07 1.2374e+12 41753
+ LandSlope_2          1 1.3373e+07 1.2374e+12 41753
+ OpenPorchSF          1 9.5356e+06 1.2374e+12 41753
+ MasVnrType_None      1 5.7880e+06 1.2374e+12 41753
+ Exterior1st_MetalSd  1 8.7940e+05 1.2374e+12 41753

Step:  AIC=41724.63
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge

                      Df  Sum of Sq        RSS   AIC
+ GarageArea           1 1.2524e+10 1.2081e+12 41707
+ LotArea              1 1.1050e+10 1.2096e+12 41710
+ LotFrontage          1 1.0592e+10 1.2101e+12 41711
+ Neighborhood_Tier_2  1 1.0452e+10 1.2102e+12 41711
+ Exterior1st_BrkFace  1 1.0171e+10 1.2105e+12 41711
+ Exterior1st_Plywood  1 9.8330e+09 1.2108e+12 41712
+ ScreenPorch          1 8.4108e+09 1.2123e+12 41714
+ MSZoning_2           1 8.3205e+09 1.2123e+12 41714
+ Exterior1st_CemntBd  1 8.0906e+09 1.2126e+12 41715
+ GarageFinish_2       1 6.6710e+09 1.2140e+12 41717
+ BsmtFinType1_2       1 6.1493e+09 1.2145e+12 41718
+ BsmtFinType1_3       1 5.2482e+09 1.2154e+12 41720
+ PoolQC               1 5.2147e+09 1.2154e+12 41720
+ HouseStyle_3         1 5.1380e+09 1.2155e+12 41720
+ HeatingQC            1 3.5379e+09 1.2171e+12 41723
+ BsmtFullBath         1 3.3709e+09 1.2173e+12 41723
+ BsmtExposure_2       1 3.1737e+09 1.2175e+12 41723
+ BsmtFinSF2           1 3.1444e+09 1.2175e+12 41723
+ BsmtUnfSF            1 3.1444e+09 1.2175e+12 41723
+ Exterior1st_PreCast  1 3.1358e+09 1.2175e+12 41723
+ BldgType_2           1 3.0615e+09 1.2176e+12 41723
+ GarageYrBlt          1 2.9736e+09 1.2177e+12 41724
+ HouseAge             1 2.3976e+09 1.2183e+12 41724
<none>                              1.2207e+12 41725
+ Condition1_2         1 2.3059e+09 1.2184e+12 41725
+ WoodDeckSF           1 2.2815e+09 1.2184e+12 41725
+ GarageCond           1 2.2430e+09 1.2184e+12 41725
+ GarageQual           1 2.1625e+09 1.2185e+12 41725
+ TotRmsAbvGrd         1 2.1492e+09 1.2185e+12 41725
+ PavedDrive_2         1 2.0204e+09 1.2186e+12 41725
+ LotShape_2           1 1.5666e+09 1.2191e+12 41726
+ LowQualFinSF         1 1.2114e+09 1.2195e+12 41726
+ ExterCond            1 9.8919e+08 1.2197e+12 41727
+ FullBath             1 9.5752e+08 1.2197e+12 41727
+ Exterior1st_AsphShn  1 9.3955e+08 1.2197e+12 41727
+ FireplaceQu          1 8.2540e+08 1.2198e+12 41727
+ PoolArea             1 8.0188e+08 1.2199e+12 41727
+ Exterior1st_Stucco   1 7.8500e+08 1.2199e+12 41727
+ Exterior1st_BrkComm  1 5.4030e+08 1.2201e+12 41728
+ MiscVal              1 5.3553e+08 1.2201e+12 41728
+ BldgType_3           1 4.8806e+08 1.2202e+12 41728
+ HouseStyle_2         1 4.8333e+08 1.2202e+12 41728
+ Exterior1st_WdShing  1 4.4190e+08 1.2202e+12 41728
+ Utilities_NoSewr     1 4.2247e+08 1.2202e+12 41728
+ BsmtCond             1 3.9432e+08 1.2203e+12 41728
+ Exterior1st_HdBoard  1 3.8732e+08 1.2203e+12 41728
+ X1stFlrSF            1 3.6748e+08 1.2203e+12 41728
+ Exterior1st_VinylSd  1 3.6212e+08 1.2203e+12 41728
+ CentralAir_Y         1 3.5711e+08 1.2203e+12 41728
+ Electrical_2         1 2.8876e+08 1.2204e+12 41728
+ Street_Pave          1 1.8642e+08 1.2205e+12 41728
+ Foundation_2         1 1.7931e+08 1.2205e+12 41728
+ X2ndFlrSF            1 1.3663e+08 1.2205e+12 41728
+ MasVnrType_Stone     1 1.2714e+08 1.2205e+12 41728
+ YrSold               1 1.0696e+08 1.2206e+12 41728
+ Exterior1st_MetalSd  1 1.0649e+08 1.2206e+12 41728
+ BsmtHalfBath         1 8.5850e+07 1.2206e+12 41728
+ Exterior1st_Wd.Sdng  1 5.4053e+07 1.2206e+12 41728
+ EnclosedPorch        1 5.0209e+07 1.2206e+12 41728
+ X3SsnPorch           1 4.7968e+07 1.2206e+12 41728
+ HalfBath             1 4.4975e+07 1.2206e+12 41728
+ Exterior1st_ImStucc  1 4.1346e+07 1.2206e+12 41728
+ MasVnrType_None      1 3.7514e+07 1.2206e+12 41728
+ GarageType_2         1 2.8149e+07 1.2206e+12 41728
+ OpenPorchSF          1 1.5324e+07 1.2206e+12 41729
+ LandSlope_2          1 4.8288e+06 1.2207e+12 41729

Step:  AIC=41707.28
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea

                      Df  Sum of Sq        RSS   AIC
+ Exterior1st_BrkFace  1 1.0875e+10 1.1973e+12 41693
+ Exterior1st_Plywood  1 1.0362e+10 1.1978e+12 41693
+ LotArea              1 1.0151e+10 1.1980e+12 41694
+ LotFrontage          1 8.7025e+09 1.1994e+12 41696
+ GarageFinish_2       1 8.5030e+09 1.1996e+12 41697
+ Neighborhood_Tier_2  1 8.4608e+09 1.1997e+12 41697
+ ScreenPorch          1 8.2903e+09 1.1998e+12 41697
+ MSZoning_2           1 7.3321e+09 1.2008e+12 41699
+ Exterior1st_CemntBd  1 7.1686e+09 1.2010e+12 41699
+ BsmtFinType1_2       1 6.3880e+09 1.2018e+12 41700
+ BsmtFinType1_3       1 5.0586e+09 1.2031e+12 41703
+ PoolQC               1 5.0064e+09 1.2031e+12 41703
+ GarageQual           1 4.3860e+09 1.2038e+12 41704
+ GarageCond           1 4.3636e+09 1.2038e+12 41704
+ HouseStyle_3         1 3.7717e+09 1.2044e+12 41705
+ HeatingQC            1 3.7100e+09 1.2044e+12 41705
+ Exterior1st_PreCast  1 3.3136e+09 1.2048e+12 41706
+ BsmtExposure_2       1 3.2589e+09 1.2049e+12 41706
+ BsmtFullBath         1 3.0812e+09 1.2051e+12 41706
+ TotRmsAbvGrd         1 3.0484e+09 1.2051e+12 41706
+ BsmtFinSF2           1 2.7255e+09 1.2054e+12 41707
+ BsmtUnfSF            1 2.7255e+09 1.2054e+12 41707
+ Condition1_2         1 2.4435e+09 1.2057e+12 41707
<none>                              1.2081e+12 41707
+ HouseAge             1 2.2039e+09 1.2059e+12 41707
+ BldgType_2           1 2.1900e+09 1.2059e+12 41707
+ WoodDeckSF           1 1.7778e+09 1.2064e+12 41708
+ LotShape_2           1 1.5833e+09 1.2066e+12 41708
+ PavedDrive_2         1 1.5043e+09 1.2066e+12 41709
+ GarageYrBlt          1 1.4612e+09 1.2067e+12 41709
+ LowQualFinSF         1 1.1205e+09 1.2070e+12 41709
+ FireplaceQu          1 1.0549e+09 1.2071e+12 41709
+ Exterior1st_Stucco   1 9.9551e+08 1.2071e+12 41709
+ Exterior1st_AsphShn  1 9.6443e+08 1.2072e+12 41710
+ PoolArea             1 8.7403e+08 1.2073e+12 41710
+ BldgType_3           1 6.1753e+08 1.2075e+12 41710
+ ExterCond            1 6.0703e+08 1.2075e+12 41710
+ BsmtCond             1 5.7451e+08 1.2076e+12 41710
+ FullBath             1 5.7154e+08 1.2076e+12 41710
+ Exterior1st_WdShing  1 5.0286e+08 1.2076e+12 41710
+ MiscVal              1 4.3687e+08 1.2077e+12 41710
+ Exterior1st_BrkComm  1 4.2713e+08 1.2077e+12 41710
+ Exterior1st_VinylSd  1 4.1481e+08 1.2077e+12 41710
+ Foundation_2         1 4.1064e+08 1.2077e+12 41710
+ Street_Pave          1 3.8118e+08 1.2078e+12 41711
+ Utilities_NoSewr     1 3.7854e+08 1.2078e+12 41711
+ Exterior1st_HdBoard  1 3.7818e+08 1.2078e+12 41711
+ HouseStyle_2         1 2.4235e+08 1.2079e+12 41711
+ HalfBath             1 1.6247e+08 1.2080e+12 41711
+ X1stFlrSF            1 1.5504e+08 1.2080e+12 41711
+ MasVnrType_Stone     1 1.4776e+08 1.2080e+12 41711
+ Exterior1st_MetalSd  1 1.2878e+08 1.2080e+12 41711
+ CentralAir_Y         1 1.2142e+08 1.2080e+12 41711
+ BsmtHalfBath         1 1.2082e+08 1.2080e+12 41711
+ YrSold               1 1.0411e+08 1.2080e+12 41711
+ EnclosedPorch        1 9.4519e+07 1.2080e+12 41711
+ Electrical_2         1 8.9374e+07 1.2080e+12 41711
+ X3SsnPorch           1 5.9750e+07 1.2081e+12 41711
+ OpenPorchSF          1 4.0056e+07 1.2081e+12 41711
+ GarageType_2         1 2.9968e+07 1.2081e+12 41711
+ X2ndFlrSF            1 2.8364e+07 1.2081e+12 41711
+ Exterior1st_ImStucc  1 2.4332e+07 1.2081e+12 41711
+ Exterior1st_Wd.Sdng  1 2.4240e+07 1.2081e+12 41711
+ MasVnrType_None      1 1.5027e+07 1.2081e+12 41711
+ LandSlope_2          1 8.6946e+05 1.2081e+12 41711

Step:  AIC=41692.55
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace

                      Df  Sum of Sq        RSS   AIC
+ LotArea              1 9253823363 1.1880e+12 41680
+ Exterior1st_Plywood  1 8718592760 1.1885e+12 41681
+ LotFrontage          1 8622101797 1.1886e+12 41682
+ Neighborhood_Tier_2  1 8204537034 1.1891e+12 41682
+ Exterior1st_CemntBd  1 7891952209 1.1894e+12 41683
+ ScreenPorch          1 7739000284 1.1895e+12 41683
+ GarageFinish_2       1 7555613623 1.1897e+12 41683
+ MSZoning_2           1 6270498318 1.1910e+12 41686
+ PoolQC               1 5452327273 1.1918e+12 41687
+ BsmtFinType1_2       1 5232425110 1.1920e+12 41687
+ GarageQual           1 4918294285 1.1923e+12 41688
+ GarageCond           1 4873164946 1.1924e+12 41688
+ BsmtFinType1_3       1 4821041769 1.1924e+12 41688
+ HeatingQC            1 4022404718 1.1932e+12 41690
+ TotRmsAbvGrd         1 3594954973 1.1937e+12 41690
+ Exterior1st_PreCast  1 3525603496 1.1937e+12 41690
+ HouseStyle_3         1 3414342949 1.1938e+12 41691
+ BsmtFullBath         1 3342092004 1.1939e+12 41691
+ BldgType_2           1 2745358844 1.1945e+12 41692
+ BsmtExposure_2       1 2477883967 1.1948e+12 41692
+ WoodDeckSF           1 2321536330 1.1949e+12 41692
<none>                              1.1973e+12 41693
+ BsmtFinSF2           1 2103888894 1.1952e+12 41693
+ BsmtUnfSF            1 2103888894 1.1952e+12 41693
+ Condition1_2         1 2052710124 1.1952e+12 41693
+ HouseAge             1 1599192793 1.1957e+12 41694
+ LotShape_2           1 1588532426 1.1957e+12 41694
+ GarageYrBlt          1 1443920925 1.1958e+12 41694
+ Exterior1st_Stucco   1 1328516030 1.1959e+12 41694
+ Exterior1st_AsphShn  1 1053288946 1.1962e+12 41695
+ PavedDrive_2         1 1013917383 1.1962e+12 41695
+ FireplaceQu          1 1007116711 1.1963e+12 41695
+ LowQualFinSF         1  829023659 1.1964e+12 41695
+ ExterCond            1  709075378 1.1966e+12 41695
+ Utilities_NoSewr     1  708125791 1.1966e+12 41695
+ Exterior1st_WdShing  1  706054998 1.1966e+12 41695
+ PoolArea             1  694223802 1.1966e+12 41695
+ BldgType_3           1  659245847 1.1966e+12 41695
+ FullBath             1  572355182 1.1967e+12 41695
+ Exterior1st_BrkComm  1  526382315 1.1967e+12 41696
+ MiscVal              1  497981211 1.1968e+12 41696
+ Exterior1st_MetalSd  1  496937006 1.1968e+12 41696
+ Foundation_2         1  452876666 1.1968e+12 41696
+ MasVnrType_Stone     1  392684789 1.1969e+12 41696
+ BsmtCond             1  379822508 1.1969e+12 41696
+ Street_Pave          1  299418631 1.1970e+12 41696
+ Exterior1st_HdBoard  1  217873987 1.1970e+12 41696
+ Exterior1st_VinylSd  1  198172700 1.1971e+12 41696
+ Electrical_2         1  147615919 1.1971e+12 41696
+ BsmtHalfBath         1  138383326 1.1971e+12 41696
+ HouseStyle_2         1  136507976 1.1971e+12 41696
+ X3SsnPorch           1  132908931 1.1971e+12 41696
+ Exterior1st_Wd.Sdng  1  104747205 1.1972e+12 41696
+ EnclosedPorch        1   65727134 1.1972e+12 41696
+ CentralAir_Y         1   63427684 1.1972e+12 41696
+ YrSold               1   54029258 1.1972e+12 41696
+ HalfBath             1   26294036 1.1972e+12 41696
+ MasVnrType_None      1   21644476 1.1972e+12 41696
+ X1stFlrSF            1   19207165 1.1972e+12 41696
+ Exterior1st_ImStucc  1   14376270 1.1972e+12 41696
+ OpenPorchSF          1    6766196 1.1973e+12 41696
+ X2ndFlrSF            1    2786229 1.1973e+12 41696
+ LandSlope_2          1    1725183 1.1973e+12 41696
+ GarageType_2         1     769268 1.1973e+12 41696

Step:  AIC=41680.46
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea

                      Df  Sum of Sq        RSS   AIC
+ Exterior1st_Plywood  1 9454366878 1.1786e+12 41668
+ Exterior1st_CemntBd  1 8541975217 1.1795e+12 41669
+ Neighborhood_Tier_2  1 8410597805 1.1796e+12 41670
+ ScreenPorch          1 8070290281 1.1799e+12 41670
+ GarageFinish_2       1 7687668537 1.1803e+12 41671
+ BsmtFinType1_2       1 6115355802 1.1819e+12 41674
+ BsmtFinType1_3       1 6109842047 1.1819e+12 41674
+ LotFrontage          1 5872147127 1.1821e+12 41674
+ MSZoning_2           1 5243743553 1.1828e+12 41675
+ PoolQC               1 5235443187 1.1828e+12 41675
+ GarageQual           1 4831477561 1.1832e+12 41676
+ GarageCond           1 4770162460 1.1832e+12 41676
+ HeatingQC            1 4443062285 1.1836e+12 41677
+ Exterior1st_PreCast  1 3450466747 1.1846e+12 41678
+ TotRmsAbvGrd         1 3287952895 1.1847e+12 41679
+ HouseStyle_3         1 3124816564 1.1849e+12 41679
+ BsmtExposure_2       1 3107996652 1.1849e+12 41679
+ BsmtFullBath         1 2727614792 1.1853e+12 41680
+ HouseAge             1 2432256949 1.1856e+12 41680
<none>                              1.1880e+12 41680
+ GarageYrBlt          1 2160038978 1.1858e+12 41681
+ Condition1_2         1 2051882143 1.1860e+12 41681
+ BldgType_2           1 1889196850 1.1861e+12 41681
+ WoodDeckSF           1 1888257853 1.1861e+12 41681
+ BsmtFinSF2           1 1715796800 1.1863e+12 41681
+ BsmtUnfSF            1 1715796800 1.1863e+12 41681
+ FireplaceQu          1 1589504862 1.1864e+12 41682
+ PavedDrive_2         1 1501710110 1.1865e+12 41682
+ Exterior1st_Stucco   1 1475240432 1.1865e+12 41682
+ Street_Pave          1 1442949155 1.1866e+12 41682
+ Exterior1st_AsphShn  1  985644502 1.1870e+12 41683
+ Foundation_2         1  979706527 1.1870e+12 41683
+ Utilities_NoSewr     1  933375914 1.1871e+12 41683
+ LotShape_2           1  857748787 1.1872e+12 41683
+ PoolArea             1  831337793 1.1872e+12 41683
+ BldgType_3           1  808479674 1.1872e+12 41683
+ LowQualFinSF         1  757550255 1.1873e+12 41683
+ Exterior1st_WdShing  1  636744461 1.1874e+12 41683
+ MasVnrType_Stone     1  628155000 1.1874e+12 41683
+ ExterCond            1  602923078 1.1874e+12 41683
+ BsmtCond             1  579531931 1.1874e+12 41683
+ Exterior1st_MetalSd  1  556461583 1.1875e+12 41683
+ FullBath             1  525573222 1.1875e+12 41683
+ Exterior1st_BrkComm  1  516225669 1.1875e+12 41683
+ MiscVal              1  328041408 1.1877e+12 41684
+ LandSlope_2          1  276821636 1.1877e+12 41684
+ Exterior1st_HdBoard  1  251255606 1.1878e+12 41684
+ BsmtHalfBath         1  167508470 1.1878e+12 41684
+ X3SsnPorch           1  139107380 1.1879e+12 41684
+ Electrical_2         1  136171337 1.1879e+12 41684
+ Exterior1st_VinylSd  1   77991907 1.1879e+12 41684
+ EnclosedPorch        1   77610213 1.1879e+12 41684
+ CentralAir_Y         1   74121493 1.1879e+12 41684
+ HalfBath             1   60842654 1.1879e+12 41684
+ HouseStyle_2         1   47932980 1.1880e+12 41684
+ X2ndFlrSF            1   40332447 1.1880e+12 41684
+ YrSold               1   39608562 1.1880e+12 41684
+ MasVnrType_None      1   33846084 1.1880e+12 41684
+ Exterior1st_Wd.Sdng  1   28153978 1.1880e+12 41684
+ Exterior1st_ImStucc  1   13793484 1.1880e+12 41684
+ OpenPorchSF          1   12711494 1.1880e+12 41684
+ GarageType_2         1   10936516 1.1880e+12 41684
+ X1stFlrSF            1     397231 1.1880e+12 41684

Step:  AIC=41667.9
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood

                      Df  Sum of Sq        RSS   AIC
+ ScreenPorch          1 8089180265 1.1705e+12 41658
+ Exterior1st_CemntBd  1 7570687902 1.1710e+12 41659
+ GarageFinish_2       1 7324477066 1.1712e+12 41659
+ MSZoning_2           1 7195522816 1.1714e+12 41659
+ BsmtFinType1_2       1 6686473269 1.1719e+12 41660
+ Neighborhood_Tier_2  1 6482244736 1.1721e+12 41660
+ LotFrontage          1 5488422035 1.1731e+12 41662
+ BsmtFinType1_3       1 5327342747 1.1732e+12 41662
+ PoolQC               1 5122271195 1.1734e+12 41663
+ GarageQual           1 4246440005 1.1743e+12 41664
+ GarageCond           1 4170178254 1.1744e+12 41664
+ HouseStyle_3         1 3954554756 1.1746e+12 41665
+ BsmtExposure_2       1 3449108907 1.1751e+12 41666
+ HouseAge             1 3346164260 1.1752e+12 41666
+ Exterior1st_PreCast  1 3197812837 1.1754e+12 41666
+ HeatingQC            1 2893701518 1.1757e+12 41667
+ TotRmsAbvGrd         1 2872192419 1.1757e+12 41667
+ BsmtFullBath         1 2615829943 1.1759e+12 41667
+ BsmtFinSF2           1 2529385913 1.1760e+12 41667
+ BsmtUnfSF            1 2529385913 1.1760e+12 41667
+ Condition1_2         1 2279250394 1.1763e+12 41668
<none>                              1.1786e+12 41668
+ GarageYrBlt          1 2097402732 1.1765e+12 41668
+ WoodDeckSF           1 2006211480 1.1765e+12 41668
+ PavedDrive_2         1 1896394682 1.1767e+12 41668
+ BldgType_2           1 1596872001 1.1770e+12 41669
+ Street_Pave          1 1552053254 1.1770e+12 41669
+ Exterior1st_Stucco   1 1235780398 1.1773e+12 41670
+ Exterior1st_HdBoard  1 1187184976 1.1774e+12 41670
+ LotShape_2           1 1163407206 1.1774e+12 41670
+ FireplaceQu          1 1113328268 1.1774e+12 41670
+ Utilities_NoSewr     1 1076831883 1.1775e+12 41670
+ LowQualFinSF         1  928336455 1.1776e+12 41670
+ Exterior1st_AsphShn  1  871547056 1.1777e+12 41670
+ PoolArea             1  838349974 1.1777e+12 41670
+ ExterCond            1  699090227 1.1779e+12 41671
+ Exterior1st_VinylSd  1  683815867 1.1779e+12 41671
+ BldgType_3           1  596318942 1.1780e+12 41671
+ MasVnrType_Stone     1  580766042 1.1780e+12 41671
+ BsmtCond             1  517245124 1.1780e+12 41671
+ Exterior1st_WdShing  1  457828421 1.1781e+12 41671
+ Exterior1st_BrkComm  1  442485519 1.1781e+12 41671
+ MiscVal              1  382653718 1.1782e+12 41671
+ Electrical_2         1  343813686 1.1782e+12 41671
+ Foundation_2         1  334164892 1.1782e+12 41671
+ LandSlope_2          1  322514651 1.1782e+12 41671
+ EnclosedPorch        1  227968225 1.1783e+12 41671
+ CentralAir_Y         1  214042748 1.1783e+12 41671
+ FullBath             1  147726543 1.1784e+12 41672
+ X3SsnPorch           1  140347328 1.1784e+12 41672
+ Exterior1st_MetalSd  1  116229599 1.1784e+12 41672
+ HouseStyle_2         1   99914640 1.1785e+12 41672
+ Exterior1st_Wd.Sdng  1   89687012 1.1785e+12 41672
+ X1stFlrSF            1   86382937 1.1785e+12 41672
+ GarageType_2         1   86082489 1.1785e+12 41672
+ BsmtHalfBath         1   67339003 1.1785e+12 41672
+ HalfBath             1   56939565 1.1785e+12 41672
+ YrSold               1   22313995 1.1785e+12 41672
+ Exterior1st_ImStucc  1   20003629 1.1785e+12 41672
+ MasVnrType_None      1   19074384 1.1785e+12 41672
+ X2ndFlrSF            1    7734751 1.1785e+12 41672
+ OpenPorchSF          1    1073466 1.1786e+12 41672

Step:  AIC=41657.61
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch

                      Df  Sum of Sq        RSS   AIC
+ GarageFinish_2       1 7464285590 1.1630e+12 41648
+ Neighborhood_Tier_2  1 6906189264 1.1636e+12 41649
+ Exterior1st_CemntBd  1 6812440538 1.1637e+12 41649
+ MSZoning_2           1 6566548175 1.1639e+12 41650
+ BsmtFinType1_2       1 6463750108 1.1640e+12 41650
+ BsmtFinType1_3       1 6070134266 1.1644e+12 41651
+ LotFrontage          1 5184606328 1.1653e+12 41652
+ GarageQual           1 4824962339 1.1656e+12 41653
+ GarageCond           1 4719260210 1.1657e+12 41653
+ PoolQC               1 4560290129 1.1659e+12 41653
+ HouseStyle_3         1 4237644202 1.1662e+12 41654
+ HouseAge             1 3818054154 1.1666e+12 41655
+ Exterior1st_PreCast  1 3362388697 1.1671e+12 41656
+ BsmtExposure_2       1 3331145181 1.1671e+12 41656
+ WoodDeckSF           1 3121055154 1.1673e+12 41656
+ HeatingQC            1 3075744997 1.1674e+12 41656
+ TotRmsAbvGrd         1 2963820368 1.1675e+12 41656
+ BsmtFullBath         1 2786559240 1.1677e+12 41657
+ GarageYrBlt          1 2515083006 1.1680e+12 41657
<none>                              1.1705e+12 41658
+ BsmtFinSF2           1 2192073013 1.1683e+12 41658
+ BsmtUnfSF            1 2192073013 1.1683e+12 41658
+ Condition1_2         1 2004570124 1.1685e+12 41658
+ BldgType_2           1 1883823290 1.1686e+12 41658
+ PavedDrive_2         1 1703597648 1.1688e+12 41659
+ Street_Pave          1 1703415153 1.1688e+12 41659
+ Exterior1st_HdBoard  1 1320171236 1.1691e+12 41659
+ Exterior1st_Stucco   1 1318588601 1.1691e+12 41659
+ FireplaceQu          1 1285633532 1.1692e+12 41659
+ PoolArea             1 1094472919 1.1694e+12 41660
+ LotShape_2           1 1055230121 1.1694e+12 41660
+ LowQualFinSF         1 1052095504 1.1694e+12 41660
+ Utilities_NoSewr     1  971563754 1.1695e+12 41660
+ Exterior1st_AsphShn  1  870445014 1.1696e+12 41660
+ ExterCond            1  607085141 1.1699e+12 41660
+ MasVnrType_Stone     1  595475491 1.1699e+12 41660
+ BldgType_3           1  533619460 1.1699e+12 41661
+ Exterior1st_BrkComm  1  501821843 1.1700e+12 41661
+ Foundation_2         1  480462739 1.1700e+12 41661
+ LandSlope_2          1  470045002 1.1700e+12 41661
+ BsmtCond             1  468015006 1.1700e+12 41661
+ Exterior1st_WdShing  1  445811459 1.1700e+12 41661
+ MiscVal              1  379818447 1.1701e+12 41661
+ Electrical_2         1  359972695 1.1701e+12 41661
+ Exterior1st_VinylSd  1  344463760 1.1701e+12 41661
+ Exterior1st_Wd.Sdng  1  258125752 1.1702e+12 41661
+ CentralAir_Y         1  148178033 1.1703e+12 41661
+ Exterior1st_MetalSd  1  140066605 1.1703e+12 41661
+ FullBath             1   84310268 1.1704e+12 41661
+ BsmtHalfBath         1   80643652 1.1704e+12 41661
+ X1stFlrSF            1   76008627 1.1704e+12 41661
+ X3SsnPorch           1   73400546 1.1704e+12 41661
+ HouseStyle_2         1   69843824 1.1704e+12 41661
+ GarageType_2         1   57078682 1.1704e+12 41661
+ EnclosedPorch        1   40477074 1.1704e+12 41661
+ HalfBath             1   38208650 1.1704e+12 41661
+ MasVnrType_None      1   17930941 1.1704e+12 41661
+ YrSold               1   15183649 1.1705e+12 41661
+ Exterior1st_ImStucc  1   13258677 1.1705e+12 41661
+ X2ndFlrSF            1    3256267 1.1705e+12 41662
+ OpenPorchSF          1    2461594 1.1705e+12 41662

Step:  AIC=41648.33
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2

                      Df  Sum of Sq        RSS   AIC
+ Neighborhood_Tier_2  1 8117760538 1.1549e+12 41638
+ MSZoning_2           1 6528393740 1.1565e+12 41641
+ Exterior1st_CemntBd  1 6124868571 1.1569e+12 41641
+ BsmtFinType1_3       1 5870801604 1.1571e+12 41642
+ BsmtFinType1_2       1 5699494524 1.1573e+12 41642
+ LotFrontage          1 5106330419 1.1579e+12 41643
+ GarageQual           1 5053666350 1.1579e+12 41643
+ GarageCond           1 4984582375 1.1580e+12 41643
+ PoolQC               1 4670695458 1.1583e+12 41644
+ HouseStyle_3         1 4086103376 1.1589e+12 41645
+ Exterior1st_PreCast  1 3530951625 1.1595e+12 41646
+ BsmtExposure_2       1 2932958799 1.1601e+12 41647
+ HeatingQC            1 2891279524 1.1601e+12 41647
+ BsmtFullBath         1 2757084847 1.1602e+12 41647
+ WoodDeckSF           1 2756142496 1.1602e+12 41647
+ HouseAge             1 2610956903 1.1604e+12 41648
+ BldgType_2           1 2489375622 1.1605e+12 41648
+ TotRmsAbvGrd         1 2473415182 1.1605e+12 41648
<none>                              1.1630e+12 41648
+ BsmtFinSF2           1 1986810927 1.1610e+12 41649
+ BsmtUnfSF            1 1986810927 1.1610e+12 41649
+ Street_Pave          1 1798071785 1.1612e+12 41649
+ Condition1_2         1 1785855505 1.1612e+12 41649
+ GarageYrBlt          1 1626512596 1.1614e+12 41649
+ PavedDrive_2         1 1525391893 1.1615e+12 41650
+ Exterior1st_Stucco   1 1464528053 1.1615e+12 41650
+ Exterior1st_HdBoard  1 1372500538 1.1616e+12 41650
+ Utilities_NoSewr     1  959723178 1.1620e+12 41651
+ LowQualFinSF         1  936211621 1.1621e+12 41651
+ PoolArea             1  884304419 1.1621e+12 41651
+ Exterior1st_AsphShn  1  832419944 1.1622e+12 41651
+ FireplaceQu          1  816406015 1.1622e+12 41651
+ ExterCond            1  654435330 1.1623e+12 41651
+ LotShape_2           1  652855239 1.1623e+12 41651
+ Exterior1st_BrkComm  1  526939068 1.1625e+12 41651
+ Exterior1st_VinylSd  1  490081759 1.1625e+12 41651
+ MasVnrType_Stone     1  474793656 1.1625e+12 41651
+ MiscVal              1  430917329 1.1626e+12 41651
+ Exterior1st_WdShing  1  372661521 1.1626e+12 41652
+ Electrical_2         1  332577507 1.1627e+12 41652
+ LandSlope_2          1  287338528 1.1627e+12 41652
+ BldgType_3           1  281282485 1.1627e+12 41652
+ BsmtCond             1  278999631 1.1627e+12 41652
+ Foundation_2         1  239861917 1.1628e+12 41652
+ Exterior1st_MetalSd  1  201372352 1.1628e+12 41652
+ FullBath             1  164165978 1.1628e+12 41652
+ CentralAir_Y         1  158925459 1.1628e+12 41652
+ Exterior1st_Wd.Sdng  1  129470238 1.1629e+12 41652
+ BsmtHalfBath         1   74708105 1.1629e+12 41652
+ HouseStyle_2         1   64314737 1.1629e+12 41652
+ X1stFlrSF            1   57239149 1.1629e+12 41652
+ X3SsnPorch           1   33103892 1.1630e+12 41652
+ YrSold               1   26702014 1.1630e+12 41652
+ GarageType_2         1   19565219 1.1630e+12 41652
+ HalfBath             1    9899057 1.1630e+12 41652
+ MasVnrType_None      1    1705768 1.1630e+12 41652
+ Exterior1st_ImStucc  1    1667184 1.1630e+12 41652
+ X2ndFlrSF            1    1112652 1.1630e+12 41652
+ EnclosedPorch        1      74953 1.1630e+12 41652
+ OpenPorchSF          1       2578 1.1630e+12 41652

Step:  AIC=41637.79
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2

                      Df  Sum of Sq        RSS   AIC
+ Exterior1st_CemntBd  1 6313293001 1.1486e+12 41630
+ MSZoning_2           1 6076715009 1.1488e+12 41631
+ LotFrontage          1 5410427992 1.1495e+12 41632
+ HouseStyle_3         1 5359847205 1.1495e+12 41632
+ BsmtFinType1_3       1 4683208838 1.1502e+12 41633
+ PoolQC               1 4680429947 1.1502e+12 41633
+ GarageQual           1 4554739350 1.1503e+12 41634
+ GarageCond           1 4543801937 1.1503e+12 41634
+ BsmtFinType1_2       1 4319112187 1.1506e+12 41634
+ Exterior1st_PreCast  1 3500821298 1.1514e+12 41635
+ BldgType_2           1 3391009193 1.1515e+12 41636
+ WoodDeckSF           1 2990225033 1.1519e+12 41636
+ BsmtFullBath         1 2853384026 1.1520e+12 41637
+ BsmtFinSF2           1 2661891180 1.1522e+12 41637
+ BsmtUnfSF            1 2661891180 1.1522e+12 41637
+ TotRmsAbvGrd         1 2476364738 1.1524e+12 41637
+ HeatingQC            1 2366431202 1.1525e+12 41637
<none>                              1.1549e+12 41638
+ Street_Pave          1 2168283632 1.1527e+12 41638
+ BsmtExposure_2       1 1917074680 1.1530e+12 41638
+ Condition1_2         1 1820411790 1.1531e+12 41638
+ Exterior1st_Stucco   1 1556021761 1.1533e+12 41639
+ PavedDrive_2         1 1524632487 1.1534e+12 41639
+ HouseAge             1 1421466512 1.1535e+12 41639
+ Exterior1st_VinylSd  1 1336421615 1.1535e+12 41639
+ ExterCond            1 1088994015 1.1538e+12 41640
+ PoolArea             1  972169485 1.1539e+12 41640
+ Utilities_NoSewr     1  968546454 1.1539e+12 41640
+ LowQualFinSF         1  939121341 1.1539e+12 41640
+ LotShape_2           1  887812528 1.1540e+12 41640
+ GarageYrBlt          1  784590418 1.1541e+12 41640
+ Exterior1st_AsphShn  1  715380442 1.1542e+12 41640
+ FullBath             1  607813655 1.1543e+12 41641
+ Exterior1st_BrkComm  1  578289881 1.1543e+12 41641
+ FireplaceQu          1  537176476 1.1543e+12 41641
+ Exterior1st_HdBoard  1  519476251 1.1544e+12 41641
+ Electrical_2         1  461778894 1.1544e+12 41641
+ MiscVal              1  450112951 1.1544e+12 41641
+ Exterior1st_WdShing  1  316874690 1.1546e+12 41641
+ CentralAir_Y         1  259115174 1.1546e+12 41641
+ BldgType_3           1  246644165 1.1546e+12 41641
+ MasVnrType_Stone     1  178849519 1.1547e+12 41641
+ Exterior1st_MetalSd  1  109097794 1.1548e+12 41642
+ LandSlope_2          1   82662431 1.1548e+12 41642
+ BsmtCond             1   67280542 1.1548e+12 41642
+ HouseStyle_2         1   61939536 1.1548e+12 41642
+ HalfBath             1   47605629 1.1548e+12 41642
+ Exterior1st_Wd.Sdng  1   42312195 1.1548e+12 41642
+ MasVnrType_None      1   40825247 1.1548e+12 41642
+ GarageType_2         1   34538938 1.1548e+12 41642
+ EnclosedPorch        1   22962811 1.1549e+12 41642
+ Foundation_2         1   21914018 1.1549e+12 41642
+ YrSold               1   13860997 1.1549e+12 41642
+ X2ndFlrSF            1   10921580 1.1549e+12 41642
+ X1stFlrSF            1    9952280 1.1549e+12 41642
+ Exterior1st_ImStucc  1    7574610 1.1549e+12 41642
+ OpenPorchSF          1    7465665 1.1549e+12 41642
+ BsmtHalfBath         1    4629809 1.1549e+12 41642
+ X3SsnPorch           1     745954 1.1549e+12 41642

Step:  AIC=41630.4
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd

                      Df  Sum of Sq        RSS   AIC
+ MSZoning_2           1 7651857099 1.1409e+12 41621
+ LotFrontage          1 6308802802 1.1423e+12 41623
+ HouseStyle_3         1 5631700293 1.1429e+12 41624
+ PoolQC               1 4870295746 1.1437e+12 41626
+ BsmtFinType1_3       1 4553602917 1.1440e+12 41626
+ BldgType_2           1 4115683922 1.1445e+12 41627
+ GarageCond           1 4096006902 1.1445e+12 41627
+ GarageQual           1 4070960060 1.1445e+12 41627
+ BsmtFinType1_2       1 3860701931 1.1447e+12 41627
+ Exterior1st_PreCast  1 3607943504 1.1450e+12 41628
+ BsmtFullBath         1 3008744469 1.1456e+12 41629
+ WoodDeckSF           1 2841627917 1.1457e+12 41629
+ BsmtFinSF2           1 2748803006 1.1458e+12 41629
+ BsmtUnfSF            1 2748803006 1.1458e+12 41629
+ TotRmsAbvGrd         1 2504444754 1.1461e+12 41630
+ HeatingQC            1 2451988300 1.1461e+12 41630
<none>                              1.1486e+12 41630
+ Street_Pave          1 2122694675 1.1464e+12 41631
+ Condition1_2         1 1950525068 1.1466e+12 41631
+ Exterior1st_Stucco   1 1630450403 1.1469e+12 41631
+ BsmtExposure_2       1 1624444362 1.1469e+12 41631
+ PavedDrive_2         1 1283543915 1.1473e+12 41632
+ ExterCond            1 1199906402 1.1474e+12 41632
+ HouseAge             1 1153849836 1.1474e+12 41632
+ Utilities_NoSewr     1 1046438089 1.1475e+12 41632
+ PoolArea             1  941751167 1.1476e+12 41633
+ LotShape_2           1  857117807 1.1477e+12 41633
+ LowQualFinSF         1  824829477 1.1477e+12 41633
+ Exterior1st_AsphShn  1  745652416 1.1478e+12 41633
+ GarageYrBlt          1  736959655 1.1478e+12 41633
+ Exterior1st_BrkComm  1  616849923 1.1480e+12 41633
+ FullBath             1  563512170 1.1480e+12 41633
+ MiscVal              1  440023145 1.1481e+12 41634
+ FireplaceQu          1  430619706 1.1481e+12 41634
+ Electrical_2         1  410450178 1.1482e+12 41634
+ Exterior1st_MetalSd  1  394332574 1.1482e+12 41634
+ Exterior1st_WdShing  1  376618528 1.1482e+12 41634
+ Exterior1st_VinylSd  1  354965380 1.1482e+12 41634
+ Exterior1st_HdBoard  1  305984572 1.1483e+12 41634
+ BldgType_3           1  203669931 1.1484e+12 41634
+ CentralAir_Y         1  178484698 1.1484e+12 41634
+ LandSlope_2          1  168220799 1.1484e+12 41634
+ GarageType_2         1  135226555 1.1484e+12 41634
+ MasVnrType_Stone     1  133948093 1.1484e+12 41634
+ HouseStyle_2         1   69059716 1.1485e+12 41634
+ EnclosedPorch        1   68839340 1.1485e+12 41634
+ X2ndFlrSF            1   62507970 1.1485e+12 41634
+ MasVnrType_None      1   60160654 1.1485e+12 41634
+ HalfBath             1   50067541 1.1485e+12 41634
+ Foundation_2         1   36040008 1.1485e+12 41634
+ YrSold               1   29027009 1.1485e+12 41634
+ BsmtCond             1   28343633 1.1485e+12 41634
+ BsmtHalfBath         1   15140580 1.1486e+12 41634
+ Exterior1st_ImStucc  1   10617595 1.1486e+12 41634
+ X1stFlrSF            1    3691148 1.1486e+12 41634
+ OpenPorchSF          1    2853469 1.1486e+12 41634
+ X3SsnPorch           1    2274065 1.1486e+12 41634
+ Exterior1st_Wd.Sdng  1    1861681 1.1486e+12 41634

Step:  AIC=41620.53
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2

                      Df  Sum of Sq        RSS   AIC
+ PoolQC               1 4844561197 1.1361e+12 41616
+ LotFrontage          1 4547598932 1.1364e+12 41616
+ GarageQual           1 4497692754 1.1364e+12 41616
+ HouseStyle_3         1 4235223427 1.1367e+12 41617
+ GarageCond           1 4214883505 1.1367e+12 41617
+ BsmtFinType1_3       1 4153804940 1.1368e+12 41617
+ BldgType_2           1 3710156314 1.1372e+12 41618
+ Exterior1st_PreCast  1 3404689581 1.1375e+12 41618
+ BsmtFinType1_2       1 2897977491 1.1380e+12 41619
+ HeatingQC            1 2768950523 1.1382e+12 41619
+ BsmtFullBath         1 2669886141 1.1382e+12 41620
+ WoodDeckSF           1 2560430907 1.1384e+12 41620
+ TotRmsAbvGrd         1 2415066114 1.1385e+12 41620
+ BsmtFinSF2           1 2355978353 1.1386e+12 41620
+ BsmtUnfSF            1 2355978353 1.1386e+12 41620
<none>                              1.1409e+12 41621
+ Exterior1st_Stucco   1 1932245042 1.1390e+12 41621
+ Street_Pave          1 1598876093 1.1393e+12 41622
+ ExterCond            1 1502295741 1.1394e+12 41622
+ Condition1_2         1 1440250641 1.1395e+12 41622
+ BsmtExposure_2       1 1036767890 1.1399e+12 41623
+ GarageType_2         1  948349482 1.1400e+12 41623
+ PoolArea             1  933540884 1.1400e+12 41623
+ FullBath             1  914675579 1.1400e+12 41623
+ Utilities_NoSewr     1  857337860 1.1401e+12 41623
+ Exterior1st_HdBoard  1  712405054 1.1402e+12 41623
+ Exterior1st_AsphShn  1  670687122 1.1402e+12 41623
+ EnclosedPorch        1  561067765 1.1404e+12 41623
+ LowQualFinSF         1  557295434 1.1404e+12 41623
+ PavedDrive_2         1  505466888 1.1404e+12 41624
+ Exterior1st_BrkComm  1  429105652 1.1405e+12 41624
+ Exterior1st_MetalSd  1  415411395 1.1405e+12 41624
+ LotShape_2           1  387240297 1.1405e+12 41624
+ MiscVal              1  371569277 1.1405e+12 41624
+ FireplaceQu          1  318071154 1.1406e+12 41624
+ BldgType_3           1  298530586 1.1406e+12 41624
+ Exterior1st_WdShing  1  228211400 1.1407e+12 41624
+ Exterior1st_VinylSd  1  223150385 1.1407e+12 41624
+ X2ndFlrSF            1  213254199 1.1407e+12 41624
+ Electrical_2         1  202677112 1.1407e+12 41624
+ GarageYrBlt          1  172798478 1.1407e+12 41624
+ MasVnrType_None      1  120991390 1.1408e+12 41624
+ MasVnrType_Stone     1  113248003 1.1408e+12 41624
+ X1stFlrSF            1   96451826 1.1408e+12 41624
+ LandSlope_2          1   75692748 1.1408e+12 41624
+ HouseStyle_2         1   67260472 1.1409e+12 41624
+ CentralAir_Y         1   59172144 1.1409e+12 41624
+ HouseAge             1   56826863 1.1409e+12 41624
+ BsmtHalfBath         1   48370790 1.1409e+12 41624
+ Foundation_2         1   37752807 1.1409e+12 41624
+ HalfBath             1   32325479 1.1409e+12 41624
+ YrSold               1   27490761 1.1409e+12 41624
+ Exterior1st_ImStucc  1   12825794 1.1409e+12 41624
+ BsmtCond             1   11179143 1.1409e+12 41624
+ Exterior1st_Wd.Sdng  1    3511295 1.1409e+12 41624
+ X3SsnPorch           1    2766807 1.1409e+12 41624
+ OpenPorchSF          1    1237587 1.1409e+12 41624

Step:  AIC=41615.67
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC

                      Df  Sum of Sq        RSS   AIC
+ PoolArea             1 1.9709e+10 1.1164e+12 41583
+ GarageQual           1 4.5507e+09 1.1315e+12 41611
+ BsmtFinType1_3       1 4.5169e+09 1.1316e+12 41611
+ GarageCond           1 4.2979e+09 1.1318e+12 41612
+ LotFrontage          1 4.0302e+09 1.1320e+12 41612
+ HouseStyle_3         1 3.8256e+09 1.1322e+12 41613
+ BldgType_2           1 3.7087e+09 1.1324e+12 41613
+ Exterior1st_PreCast  1 3.4285e+09 1.1326e+12 41613
+ BsmtFinType1_2       1 2.9656e+09 1.1331e+12 41614
+ HeatingQC            1 2.8414e+09 1.1332e+12 41614
+ BsmtFullBath         1 2.6197e+09 1.1335e+12 41615
+ TotRmsAbvGrd         1 2.4626e+09 1.1336e+12 41615
+ WoodDeckSF           1 2.3165e+09 1.1338e+12 41615
+ BsmtFinSF2           1 2.2444e+09 1.1338e+12 41616
+ BsmtUnfSF            1 2.2444e+09 1.1338e+12 41616
<none>                              1.1361e+12 41616
+ Exterior1st_Stucco   1 2.0301e+09 1.1340e+12 41616
+ ExterCond            1 1.7005e+09 1.1344e+12 41616
+ Street_Pave          1 1.5295e+09 1.1345e+12 41617
+ Condition1_2         1 1.4240e+09 1.1347e+12 41617
+ BsmtExposure_2       1 1.0841e+09 1.1350e+12 41618
+ GarageType_2         1 9.1123e+08 1.1352e+12 41618
+ Utilities_NoSewr     1 8.0755e+08 1.1353e+12 41618
+ FullBath             1 7.5960e+08 1.1353e+12 41618
+ Exterior1st_HdBoard  1 6.9662e+08 1.1354e+12 41618
+ Exterior1st_AsphShn  1 6.7875e+08 1.1354e+12 41618
+ FireplaceQu          1 6.4525e+08 1.1354e+12 41618
+ PavedDrive_2         1 6.1584e+08 1.1355e+12 41618
+ X2ndFlrSF            1 5.6923e+08 1.1355e+12 41619
+ LowQualFinSF         1 4.7419e+08 1.1356e+12 41619
+ Exterior1st_BrkComm  1 4.7322e+08 1.1356e+12 41619
+ LotShape_2           1 4.4303e+08 1.1356e+12 41619
+ X1stFlrSF            1 3.8460e+08 1.1357e+12 41619
+ BldgType_3           1 3.7149e+08 1.1357e+12 41619
+ MiscVal              1 3.4308e+08 1.1357e+12 41619
+ Exterior1st_MetalSd  1 3.2196e+08 1.1358e+12 41619
+ EnclosedPorch        1 2.2269e+08 1.1359e+12 41619
+ GarageYrBlt          1 1.5810e+08 1.1359e+12 41619
+ Electrical_2         1 1.5559e+08 1.1359e+12 41619
+ BsmtHalfBath         1 1.5270e+08 1.1359e+12 41619
+ MasVnrType_None      1 1.3681e+08 1.1359e+12 41619
+ Exterior1st_VinylSd  1 1.2480e+08 1.1359e+12 41619
+ Foundation_2         1 1.0456e+08 1.1360e+12 41619
+ MasVnrType_Stone     1 9.1505e+07 1.1360e+12 41619
+ LandSlope_2          1 7.8214e+07 1.1360e+12 41619
+ CentralAir_Y         1 3.7788e+07 1.1360e+12 41620
+ Exterior1st_WdShing  1 2.7318e+07 1.1360e+12 41620
+ HouseAge             1 2.6691e+07 1.1360e+12 41620
+ HalfBath             1 1.8076e+07 1.1361e+12 41620
+ Exterior1st_ImStucc  1 1.5602e+07 1.1361e+12 41620
+ BsmtCond             1 1.2315e+07 1.1361e+12 41620
+ Exterior1st_Wd.Sdng  1 1.1176e+07 1.1361e+12 41620
+ OpenPorchSF          1 8.4202e+06 1.1361e+12 41620
+ HouseStyle_2         1 7.2167e+06 1.1361e+12 41620
+ YrSold               1 6.1525e+06 1.1361e+12 41620
+ X3SsnPorch           1 5.9079e+05 1.1361e+12 41620

Step:  AIC=41583.5
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea

                      Df  Sum of Sq        RSS   AIC
+ LotFrontage          1 5235266642 1.1111e+12 41578
+ GarageQual           1 5077170068 1.1113e+12 41578
+ GarageCond           1 4838991167 1.1115e+12 41578
+ BsmtFinType1_3       1 4769868536 1.1116e+12 41579
+ HouseStyle_3         1 4321964404 1.1120e+12 41579
+ TotRmsAbvGrd         1 3715399350 1.1126e+12 41581
+ BldgType_2           1 3660418819 1.1127e+12 41581
+ Exterior1st_PreCast  1 3459343439 1.1129e+12 41581
+ BsmtFinType1_2       1 3423948684 1.1129e+12 41581
+ HeatingQC            1 3056475232 1.1133e+12 41582
+ WoodDeckSF           1 2999327257 1.1134e+12 41582
+ BsmtFinSF2           1 2861659032 1.1135e+12 41582
+ BsmtUnfSF            1 2861659032 1.1135e+12 41582
+ BsmtFullBath         1 2709449333 1.1137e+12 41582
<none>                              1.1164e+12 41583
+ Exterior1st_Stucco   1 1998648995 1.1144e+12 41584
+ Condition1_2         1 1939249867 1.1144e+12 41584
+ Street_Pave          1 1674282981 1.1147e+12 41584
+ ExterCond            1 1435497744 1.1149e+12 41585
+ BsmtExposure_2       1 1330544968 1.1150e+12 41585
+ X2ndFlrSF            1 1152939528 1.1152e+12 41585
+ Utilities_NoSewr     1  938325209 1.1154e+12 41586
+ GarageType_2         1  926334199 1.1154e+12 41586
+ X1stFlrSF            1  870892723 1.1155e+12 41586
+ Exterior1st_HdBoard  1  846649434 1.1155e+12 41586
+ Exterior1st_AsphShn  1  686312079 1.1157e+12 41586
+ LotShape_2           1  558074898 1.1158e+12 41586
+ LowQualFinSF         1  551703337 1.1158e+12 41586
+ MiscVal              1  525536170 1.1158e+12 41586
+ BldgType_3           1  503937202 1.1159e+12 41586
+ FullBath             1  481358600 1.1159e+12 41587
+ Exterior1st_BrkComm  1  442473011 1.1159e+12 41587
+ LandSlope_2          1  368076061 1.1160e+12 41587
+ PavedDrive_2         1  365575142 1.1160e+12 41587
+ EnclosedPorch        1  354649046 1.1160e+12 41587
+ Exterior1st_MetalSd  1  273102622 1.1161e+12 41587
+ GarageYrBlt          1  194429981 1.1162e+12 41587
+ MasVnrType_None      1  193575714 1.1162e+12 41587
+ Electrical_2         1  158973048 1.1162e+12 41587
+ FireplaceQu          1  115233510 1.1162e+12 41587
+ Foundation_2         1  109718717 1.1163e+12 41587
+ HalfBath             1   96032269 1.1163e+12 41587
+ Exterior1st_WdShing  1   61936180 1.1163e+12 41587
+ Exterior1st_VinylSd  1   53858681 1.1163e+12 41587
+ HouseAge             1   52084709 1.1163e+12 41587
+ CentralAir_Y         1   48982412 1.1163e+12 41587
+ MasVnrType_Stone     1   48459259 1.1163e+12 41587
+ BsmtCond             1   35984943 1.1163e+12 41587
+ YrSold               1   35559251 1.1163e+12 41587
+ OpenPorchSF          1   20627769 1.1163e+12 41587
+ Exterior1st_ImStucc  1   19564263 1.1163e+12 41587
+ Exterior1st_Wd.Sdng  1    5307706 1.1164e+12 41587
+ HouseStyle_2         1    1342287 1.1164e+12 41587
+ BsmtHalfBath         1     520348 1.1164e+12 41587
+ X3SsnPorch           1      79851 1.1164e+12 41587

Step:  AIC=41577.71
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage

                      Df  Sum of Sq        RSS   AIC
+ BsmtFinType1_3       1 4587453430 1.1065e+12 41573
+ GarageQual           1 4382368462 1.1067e+12 41573
+ GarageCond           1 4054080034 1.1071e+12 41574
+ Exterior1st_PreCast  1 3335121929 1.1078e+12 41575
+ HeatingQC            1 3274963137 1.1079e+12 41576
+ WoodDeckSF           1 3257982134 1.1079e+12 41576
+ BsmtFinType1_2       1 3189279956 1.1079e+12 41576
+ TotRmsAbvGrd         1 3155596499 1.1080e+12 41576
+ BldgType_2           1 3085014880 1.1080e+12 41576
+ HouseStyle_3         1 2977336707 1.1082e+12 41576
+ BsmtFinSF2           1 2865009040 1.1083e+12 41576
+ BsmtUnfSF            1 2865009040 1.1083e+12 41576
+ BsmtFullBath         1 2625989821 1.1085e+12 41577
<none>                              1.1111e+12 41578
+ Condition1_2         1 1911216357 1.1092e+12 41578
+ X2ndFlrSF            1 1903876590 1.1092e+12 41578
+ Exterior1st_Stucco   1 1874616175 1.1093e+12 41578
+ Street_Pave          1 1808549368 1.1093e+12 41578
+ ExterCond            1 1664879064 1.1095e+12 41579
+ X1stFlrSF            1 1549543044 1.1096e+12 41579
+ GarageType_2         1 1417444719 1.1097e+12 41579
+ BsmtExposure_2       1 1219751775 1.1099e+12 41579
+ Utilities_NoSewr     1 1078211234 1.1101e+12 41580
+ Exterior1st_HdBoard  1  937093992 1.1102e+12 41580
+ LotShape_2           1  641214979 1.1105e+12 41580
+ Exterior1st_AsphShn  1  625050160 1.1105e+12 41580
+ MiscVal              1  564258147 1.1106e+12 41581
+ LowQualFinSF         1  546363139 1.1106e+12 41581
+ PavedDrive_2         1  512461835 1.1106e+12 41581
+ Exterior1st_MetalSd  1  420510503 1.1107e+12 41581
+ Exterior1st_BrkComm  1  417580399 1.1107e+12 41581
+ LandSlope_2          1  364866177 1.1108e+12 41581
+ GarageYrBlt          1  364227444 1.1108e+12 41581
+ FullBath             1  327867234 1.1108e+12 41581
+ EnclosedPorch        1  307850792 1.1108e+12 41581
+ BldgType_3           1  293443053 1.1108e+12 41581
+ MasVnrType_None      1  218417394 1.1109e+12 41581
+ Foundation_2         1  190354517 1.1109e+12 41581
+ Electrical_2         1  172623620 1.1110e+12 41581
+ CentralAir_Y         1  120027351 1.1110e+12 41581
+ HouseAge             1  112579823 1.1110e+12 41581
+ Exterior1st_WdShing  1   77473611 1.1111e+12 41581
+ Exterior1st_VinylSd  1   75082233 1.1111e+12 41581
+ FireplaceQu          1   39798762 1.1111e+12 41582
+ MasVnrType_Stone     1   29946010 1.1111e+12 41582
+ YrSold               1   25752772 1.1111e+12 41582
+ BsmtCond             1   24461832 1.1111e+12 41582
+ HalfBath             1   20686695 1.1111e+12 41582
+ HouseStyle_2         1   18852147 1.1111e+12 41582
+ Exterior1st_ImStucc  1   12586999 1.1111e+12 41582
+ OpenPorchSF          1    9443271 1.1111e+12 41582
+ BsmtHalfBath         1    8718074 1.1111e+12 41582
+ Exterior1st_Wd.Sdng  1    3292024 1.1111e+12 41582
+ X3SsnPorch           1      78825 1.1111e+12 41582

Step:  AIC=41573.1
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3

                      Df  Sum of Sq        RSS   AIC
+ GarageQual           1 3830986980 1.1027e+12 41570
+ WoodDeckSF           1 3718902557 1.1028e+12 41570
+ Exterior1st_PreCast  1 3582863796 1.1030e+12 41570
+ GarageCond           1 3445080609 1.1031e+12 41571
+ BsmtFinSF2           1 3442917902 1.1031e+12 41571
+ BsmtUnfSF            1 3442917902 1.1031e+12 41571
+ BldgType_2           1 3367577196 1.1032e+12 41571
+ TotRmsAbvGrd         1 3350715645 1.1032e+12 41571
+ HeatingQC            1 2931984070 1.1036e+12 41572
+ X2ndFlrSF            1 2535829871 1.1040e+12 41572
+ HouseStyle_3         1 2389900149 1.1042e+12 41573
+ X1stFlrSF            1 2125246447 1.1044e+12 41573
<none>                              1.1065e+12 41573
+ ExterCond            1 2094343763 1.1044e+12 41573
+ Exterior1st_Stucco   1 2038861425 1.1045e+12 41573
+ Condition1_2         1 2014958813 1.1045e+12 41573
+ Street_Pave          1 1904840175 1.1046e+12 41573
+ BsmtFullBath         1 1689925910 1.1049e+12 41574
+ GarageType_2         1 1525430047 1.1050e+12 41574
+ Utilities_NoSewr     1 1311611652 1.1052e+12 41575
+ BsmtFinType1_2       1 1228516867 1.1053e+12 41575
+ FullBath             1  771102537 1.1058e+12 41576
+ Exterior1st_HdBoard  1  746340118 1.1058e+12 41576
+ LotShape_2           1  690338991 1.1059e+12 41576
+ PavedDrive_2         1  586767246 1.1060e+12 41576
+ Exterior1st_AsphShn  1  578307356 1.1060e+12 41576
+ LowQualFinSF         1  566293612 1.1060e+12 41576
+ MiscVal              1  542487158 1.1060e+12 41576
+ Exterior1st_MetalSd  1  460796455 1.1061e+12 41576
+ Exterior1st_BrkComm  1  428937574 1.1061e+12 41576
+ EnclosedPorch        1  376508373 1.1062e+12 41576
+ BldgType_3           1  326405473 1.1062e+12 41576
+ MasVnrType_None      1  274008982 1.1063e+12 41576
+ Exterior1st_VinylSd  1  250256719 1.1063e+12 41577
+ Electrical_2         1  246880415 1.1063e+12 41577
+ LandSlope_2          1  230270141 1.1063e+12 41577
+ BsmtExposure_2       1  202774027 1.1063e+12 41577
+ CentralAir_Y         1  155900429 1.1064e+12 41577
+ GarageYrBlt          1  101806929 1.1064e+12 41577
+ BsmtCond             1   99789190 1.1064e+12 41577
+ Exterior1st_WdShing  1   82152177 1.1065e+12 41577
+ HouseStyle_2         1   81537351 1.1065e+12 41577
+ YrSold               1   58222008 1.1065e+12 41577
+ FireplaceQu          1   31507394 1.1065e+12 41577
+ Exterior1st_Wd.Sdng  1   19677209 1.1065e+12 41577
+ MasVnrType_Stone     1   13737720 1.1065e+12 41577
+ BsmtHalfBath         1   12189983 1.1065e+12 41577
+ Exterior1st_ImStucc  1    6638468 1.1065e+12 41577
+ HouseAge             1    4408642 1.1065e+12 41577
+ HalfBath             1    3144504 1.1065e+12 41577
+ X3SsnPorch           1    1893823 1.1065e+12 41577
+ OpenPorchSF          1    1802825 1.1065e+12 41577
+ Foundation_2         1     894868 1.1065e+12 41577

Step:  AIC=41569.86
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual

                      Df  Sum of Sq        RSS   AIC
+ BsmtFinSF2           1 3850799867 1.0989e+12 41567
+ BsmtUnfSF            1 3850799867 1.0989e+12 41567
+ WoodDeckSF           1 3787336708 1.0989e+12 41567
+ TotRmsAbvGrd         1 3410125722 1.0993e+12 41567
+ Exterior1st_PreCast  1 3129283261 1.0996e+12 41568
+ BldgType_2           1 2941161539 1.0998e+12 41568
+ HeatingQC            1 2810612080 1.0999e+12 41569
+ ExterCond            1 2500769543 1.1002e+12 41569
+ X2ndFlrSF            1 2451278935 1.1003e+12 41569
+ Street_Pave          1 2403315433 1.1003e+12 41569
+ HouseStyle_3         1 2282482817 1.1004e+12 41569
<none>                              1.1027e+12 41570
+ X1stFlrSF            1 2083689754 1.1006e+12 41570
+ Condition1_2         1 2050168092 1.1007e+12 41570
+ Exterior1st_Stucco   1 2038165561 1.1007e+12 41570
+ BsmtFullBath         1 1631663573 1.1011e+12 41571
+ PavedDrive_2         1 1436537895 1.1013e+12 41571
+ Utilities_NoSewr     1 1231351973 1.1015e+12 41571
+ BsmtFinType1_2       1  974591835 1.1017e+12 41572
+ FullBath             1  953939667 1.1018e+12 41572
+ LotShape_2           1  756840968 1.1020e+12 41572
+ CentralAir_Y         1  681600101 1.1020e+12 41572
+ MiscVal              1  601877650 1.1021e+12 41573
+ GarageType_2         1  575980338 1.1021e+12 41573
+ Exterior1st_MetalSd  1  524989024 1.1022e+12 41573
+ Exterior1st_HdBoard  1  508054224 1.1022e+12 41573
+ BldgType_3           1  488412482 1.1022e+12 41573
+ LowQualFinSF         1  480415134 1.1022e+12 41573
+ Exterior1st_BrkComm  1  452901764 1.1023e+12 41573
+ Exterior1st_VinylSd  1  417240944 1.1023e+12 41573
+ Exterior1st_AsphShn  1  383555176 1.1023e+12 41573
+ Electrical_2         1  322178246 1.1024e+12 41573
+ MasVnrType_None      1  286201808 1.1024e+12 41573
+ EnclosedPorch        1  256510401 1.1025e+12 41573
+ BsmtCond             1  243136900 1.1025e+12 41573
+ LandSlope_2          1  191767327 1.1025e+12 41573
+ BsmtExposure_2       1  109846460 1.1026e+12 41574
+ Exterior1st_WdShing  1   96979773 1.1026e+12 41574
+ HouseStyle_2         1   56234674 1.1027e+12 41574
+ YrSold               1   43406323 1.1027e+12 41574
+ Foundation_2         1   31851484 1.1027e+12 41574
+ GarageCond           1   31056858 1.1027e+12 41574
+ FireplaceQu          1   27709006 1.1027e+12 41574
+ Exterior1st_Wd.Sdng  1   22168139 1.1027e+12 41574
+ GarageYrBlt          1   20137601 1.1027e+12 41574
+ BsmtHalfBath         1   16075705 1.1027e+12 41574
+ MasVnrType_Stone     1    8374115 1.1027e+12 41574
+ HouseAge             1    3820433 1.1027e+12 41574
+ OpenPorchSF          1    1575644 1.1027e+12 41574
+ X3SsnPorch           1    1511131 1.1027e+12 41574
+ Exterior1st_ImStucc  1    1174740 1.1027e+12 41574
+ HalfBath             1      82149 1.1027e+12 41574

Step:  AIC=41566.56
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2

                      Df  Sum of Sq        RSS   AIC
+ TotRmsAbvGrd         1 3742019059 1.0951e+12 41563
+ Exterior1st_PreCast  1 3219666572 1.0956e+12 41564
+ WoodDeckSF           1 3204676001 1.0957e+12 41564
+ BldgType_2           1 2976478259 1.0959e+12 41565
+ HeatingQC            1 2950860774 1.0959e+12 41565
+ X2ndFlrSF            1 2329189749 1.0965e+12 41566
+ Street_Pave          1 2283675051 1.0966e+12 41566
+ Exterior1st_Stucco   1 2237566169 1.0966e+12 41566
<none>                              1.0989e+12 41567
+ HouseStyle_3         1 1983241582 1.0969e+12 41567
+ Condition1_2         1 1983097723 1.0969e+12 41567
+ X1stFlrSF            1 1964507619 1.0969e+12 41567
+ ExterCond            1 1961861248 1.0969e+12 41567
+ PavedDrive_2         1 1170800812 1.0977e+12 41568
+ BsmtFinType1_2       1 1125039185 1.0977e+12 41568
+ Utilities_NoSewr     1 1086664938 1.0978e+12 41568
+ FullBath             1  843718252 1.0980e+12 41569
+ LotShape_2           1  707273839 1.0982e+12 41569
+ Exterior1st_HdBoard  1  691682741 1.0982e+12 41569
+ GarageType_2         1  663448791 1.0982e+12 41569
+ MiscVal              1  626896938 1.0982e+12 41569
+ Exterior1st_MetalSd  1  602565473 1.0983e+12 41569
+ BsmtFullBath         1  571595430 1.0983e+12 41569
+ CentralAir_Y         1  559531914 1.0983e+12 41569
+ LowQualFinSF         1  491037830 1.0984e+12 41570
+ BldgType_3           1  485593953 1.0984e+12 41570
+ Exterior1st_BrkComm  1  435313072 1.0984e+12 41570
+ Exterior1st_AsphShn  1  357990230 1.0985e+12 41570
+ LandSlope_2          1  309723626 1.0986e+12 41570
+ Exterior1st_VinylSd  1  289976775 1.0986e+12 41570
+ EnclosedPorch        1  276667478 1.0986e+12 41570
+ MasVnrType_None      1  270360531 1.0986e+12 41570
+ Electrical_2         1  240210197 1.0986e+12 41570
+ BsmtExposure_2       1  176398002 1.0987e+12 41570
+ FireplaceQu          1   99427027 1.0988e+12 41570
+ BsmtCond             1   98442218 1.0988e+12 41570
+ Exterior1st_WdShing  1   86326095 1.0988e+12 41570
+ YrSold               1   51126780 1.0988e+12 41570
+ HouseStyle_2         1   47629540 1.0988e+12 41570
+ GarageYrBlt          1   28405485 1.0988e+12 41570
+ GarageCond           1   26858554 1.0988e+12 41570
+ MasVnrType_Stone     1   12304333 1.0988e+12 41570
+ X3SsnPorch           1   10018636 1.0989e+12 41570
+ BsmtHalfBath         1    9236013 1.0989e+12 41570
+ Exterior1st_Wd.Sdng  1    7230370 1.0989e+12 41570
+ Foundation_2         1    4008104 1.0989e+12 41570
+ OpenPorchSF          1    3653623 1.0989e+12 41570
+ Exterior1st_ImStucc  1    1297732 1.0989e+12 41570
+ HouseAge             1     751351 1.0989e+12 41570
+ HalfBath             1     662177 1.0989e+12 41570

Step:  AIC=41563.43
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd

                      Df  Sum of Sq        RSS   AIC
+ Exterior1st_PreCast  1 3401455658 1.0917e+12 41561
+ WoodDeckSF           1 3114370726 1.0920e+12 41561
+ HeatingQC            1 2964644771 1.0922e+12 41562
+ BldgType_2           1 2421166597 1.0927e+12 41563
+ Street_Pave          1 2381294215 1.0927e+12 41563
+ X2ndFlrSF            1 2234204800 1.0929e+12 41563
+ Exterior1st_Stucco   1 2180366670 1.0929e+12 41563
<none>                              1.0951e+12 41563
+ ExterCond            1 2008197828 1.0931e+12 41564
+ Condition1_2         1 1870455447 1.0932e+12 41564
+ X1stFlrSF            1 1802173119 1.0933e+12 41564
+ HouseStyle_3         1 1690215788 1.0934e+12 41564
+ PavedDrive_2         1 1235533778 1.0939e+12 41565
+ Utilities_NoSewr     1 1133555908 1.0940e+12 41565
+ BsmtFinType1_2       1 1113151260 1.0940e+12 41565
+ Exterior1st_MetalSd  1  770026502 1.0943e+12 41566
+ Exterior1st_HdBoard  1  760963991 1.0944e+12 41566
+ GarageType_2         1  724731877 1.0944e+12 41566
+ LotShape_2           1  695457816 1.0944e+12 41566
+ LowQualFinSF         1  686445694 1.0944e+12 41566
+ FullBath             1  612144273 1.0945e+12 41566
+ MiscVal              1  607663360 1.0945e+12 41566
+ CentralAir_Y         1  601195983 1.0945e+12 41566
+ BsmtFullBath         1  568994695 1.0945e+12 41566
+ BldgType_3           1  447150106 1.0947e+12 41567
+ Exterior1st_BrkComm  1  420404006 1.0947e+12 41567
+ MasVnrType_None      1  369395252 1.0947e+12 41567
+ Exterior1st_AsphShn  1  345615314 1.0948e+12 41567
+ Exterior1st_VinylSd  1  326970101 1.0948e+12 41567
+ LandSlope_2          1  269004826 1.0948e+12 41567
+ EnclosedPorch        1  266823616 1.0949e+12 41567
+ Electrical_2         1  250806065 1.0949e+12 41567
+ BsmtExposure_2       1  173449453 1.0949e+12 41567
+ Exterior1st_WdShing  1  126014089 1.0950e+12 41567
+ BsmtCond             1   97185816 1.0950e+12 41567
+ GarageCond           1   39897787 1.0951e+12 41567
+ YrSold               1   37503041 1.0951e+12 41567
+ X3SsnPorch           1   25120228 1.0951e+12 41567
+ GarageYrBlt          1   23340651 1.0951e+12 41567
+ HouseAge             1   17963354 1.0951e+12 41567
+ BsmtHalfBath         1   16660485 1.0951e+12 41567
+ Exterior1st_ImStucc  1   10197266 1.0951e+12 41567
+ FireplaceQu          1   10093800 1.0951e+12 41567
+ HouseStyle_2         1    6525528 1.0951e+12 41567
+ Foundation_2         1    4739001 1.0951e+12 41567
+ Exterior1st_Wd.Sdng  1    1732554 1.0951e+12 41567
+ OpenPorchSF          1    1545695 1.0951e+12 41567
+ HalfBath             1     510985 1.0951e+12 41567
+ MasVnrType_Stone     1        159 1.0951e+12 41567

Step:  AIC=41560.93
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast

                      Df  Sum of Sq        RSS   AIC
+ WoodDeckSF           1 3312449115 1.0884e+12 41559
+ HeatingQC            1 2739115326 1.0890e+12 41560
+ BldgType_2           1 2424973163 1.0893e+12 41560
+ Street_Pave          1 2337949418 1.0894e+12 41560
+ Exterior1st_Stucco   1 2200045625 1.0895e+12 41561
+ X2ndFlrSF            1 2124842818 1.0896e+12 41561
<none>                              1.0917e+12 41561
+ ExterCond            1 2060423588 1.0897e+12 41561
+ Condition1_2         1 1905151241 1.0898e+12 41561
+ HouseStyle_3         1 1748535431 1.0900e+12 41562
+ X1stFlrSF            1 1701391487 1.0900e+12 41562
+ BsmtFinType1_2       1 1178873580 1.0905e+12 41563
+ Utilities_NoSewr     1 1150249009 1.0906e+12 41563
+ PavedDrive_2         1 1109462002 1.0906e+12 41563
+ Exterior1st_MetalSd  1  806301965 1.0909e+12 41563
+ LotShape_2           1  770548354 1.0909e+12 41563
+ Exterior1st_HdBoard  1  742649498 1.0910e+12 41563
+ LowQualFinSF         1  688745952 1.0910e+12 41564
+ GarageType_2         1  645482903 1.0911e+12 41564
+ MiscVal              1  623710915 1.0911e+12 41564
+ FullBath             1  565578073 1.0912e+12 41564
+ BsmtFullBath         1  533766948 1.0912e+12 41564
+ CentralAir_Y         1  528077078 1.0912e+12 41564
+ Exterior1st_BrkComm  1  440169277 1.0913e+12 41564
+ BldgType_3           1  435108041 1.0913e+12 41564
+ Exterior1st_AsphShn  1  363107871 1.0914e+12 41564
+ MasVnrType_None      1  342185204 1.0914e+12 41564
+ Exterior1st_VinylSd  1  298435228 1.0914e+12 41564
+ EnclosedPorch        1  296889883 1.0914e+12 41564
+ Electrical_2         1  230694414 1.0915e+12 41564
+ LandSlope_2          1  211330801 1.0915e+12 41564
+ BsmtExposure_2       1  203507114 1.0915e+12 41564
+ Exterior1st_WdShing  1  134049810 1.0916e+12 41565
+ BsmtCond             1   73759419 1.0916e+12 41565
+ YrSold               1   47057551 1.0917e+12 41565
+ GarageYrBlt          1   36606758 1.0917e+12 41565
+ X3SsnPorch           1   33330959 1.0917e+12 41565
+ Foundation_2         1   33311640 1.0917e+12 41565
+ GarageCond           1   30495497 1.0917e+12 41565
+ HouseAge             1   17972936 1.0917e+12 41565
+ FireplaceQu          1   15598338 1.0917e+12 41565
+ Exterior1st_ImStucc  1   11448722 1.0917e+12 41565
+ BsmtHalfBath         1   11092271 1.0917e+12 41565
+ Exterior1st_Wd.Sdng  1    7737615 1.0917e+12 41565
+ HouseStyle_2         1    2040228 1.0917e+12 41565
+ OpenPorchSF          1     457012 1.0917e+12 41565
+ HalfBath             1     345662 1.0917e+12 41565
+ MasVnrType_Stone     1     210278 1.0917e+12 41565

Step:  AIC=41558.58
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF

                      Df  Sum of Sq        RSS   AIC
+ HeatingQC            1 2959608793 1.0854e+12 41557
+ Street_Pave          1 2407243515 1.0860e+12 41558
+ BldgType_2           1 2347717390 1.0861e+12 41558
+ Exterior1st_Stucco   1 2262249036 1.0861e+12 41558
+ X2ndFlrSF            1 2122699968 1.0863e+12 41558
<none>                              1.0884e+12 41559
+ Condition1_2         1 1965628957 1.0864e+12 41559
+ ExterCond            1 1959200235 1.0864e+12 41559
+ X1stFlrSF            1 1689930162 1.0867e+12 41559
+ HouseStyle_3         1 1604472672 1.0868e+12 41559
+ BsmtFinType1_2       1 1243696456 1.0872e+12 41560
+ Utilities_NoSewr     1 1156919362 1.0872e+12 41560
+ PavedDrive_2         1 1118412851 1.0873e+12 41560
+ Exterior1st_MetalSd  1 1013356293 1.0874e+12 41561
+ GarageType_2         1  874830343 1.0875e+12 41561
+ Exterior1st_HdBoard  1  864773194 1.0875e+12 41561
+ LotShape_2           1  727491542 1.0877e+12 41561
+ LowQualFinSF         1  716865707 1.0877e+12 41561
+ MiscVal              1  533753020 1.0879e+12 41561
+ FullBath             1  530127906 1.0879e+12 41561
+ CentralAir_Y         1  498987714 1.0879e+12 41562
+ Exterior1st_BrkComm  1  490283466 1.0879e+12 41562
+ EnclosedPorch        1  443573380 1.0880e+12 41562
+ BsmtFullBath         1  440098008 1.0880e+12 41562
+ BldgType_3           1  376789810 1.0880e+12 41562
+ Exterior1st_AsphShn  1  351149086 1.0881e+12 41562
+ MasVnrType_None      1  320784468 1.0881e+12 41562
+ LandSlope_2          1  299124546 1.0881e+12 41562
+ Exterior1st_VinylSd  1  272043773 1.0881e+12 41562
+ BsmtExposure_2       1  234143186 1.0882e+12 41562
+ Electrical_2         1  169541660 1.0882e+12 41562
+ Exterior1st_WdShing  1  114005303 1.0883e+12 41562
+ GarageYrBlt          1   73997246 1.0883e+12 41562
+ GarageCond           1   59293648 1.0883e+12 41562
+ YrSold               1   56630656 1.0883e+12 41562
+ X3SsnPorch           1   44682075 1.0884e+12 41562
+ BsmtCond             1   34123895 1.0884e+12 41562
+ BsmtHalfBath         1   31657314 1.0884e+12 41562
+ Exterior1st_ImStucc  1   24504121 1.0884e+12 41562
+ Foundation_2         1   23530881 1.0884e+12 41562
+ HouseAge             1   20493858 1.0884e+12 41562
+ OpenPorchSF          1   18858579 1.0884e+12 41562
+ FireplaceQu          1    4971700 1.0884e+12 41562
+ MasVnrType_Stone     1    1834764 1.0884e+12 41562
+ HouseStyle_2         1    1420154 1.0884e+12 41562
+ Exterior1st_Wd.Sdng  1     332844 1.0884e+12 41562
+ HalfBath             1        673 1.0884e+12 41562

Step:  AIC=41556.87
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC

                      Df  Sum of Sq        RSS   AIC
+ BldgType_2           1 2417249118 1.0830e+12 41556
+ Street_Pave          1 2342487660 1.0831e+12 41556
+ Exterior1st_Stucco   1 2302821900 1.0831e+12 41556
<none>                              1.0854e+12 41557
+ Condition1_2         1 2029692084 1.0834e+12 41557
+ X2ndFlrSF            1 1951058197 1.0835e+12 41557
+ ExterCond            1 1695327149 1.0837e+12 41558
+ HouseStyle_3         1 1672532219 1.0838e+12 41558
+ X1stFlrSF            1 1551423897 1.0839e+12 41558
+ BsmtFinType1_2       1 1425265432 1.0840e+12 41558
+ Utilities_NoSewr     1 1118354811 1.0843e+12 41559
+ Exterior1st_MetalSd  1  961054984 1.0845e+12 41559
+ PavedDrive_2         1  896481877 1.0845e+12 41559
+ GarageType_2         1  831962883 1.0846e+12 41559
+ LotShape_2           1  788069460 1.0847e+12 41559
+ LowQualFinSF         1  662769741 1.0848e+12 41560
+ Exterior1st_VinylSd  1  657159706 1.0848e+12 41560
+ Exterior1st_BrkComm  1  646913005 1.0848e+12 41560
+ MiscVal              1  528602899 1.0849e+12 41560
+ FullBath             1  515776627 1.0849e+12 41560
+ EnclosedPorch        1  444941882 1.0850e+12 41560
+ Exterior1st_HdBoard  1  409827882 1.0850e+12 41560
+ MasVnrType_None      1  351466495 1.0851e+12 41560
+ BsmtFullBath         1  348337135 1.0851e+12 41560
+ LandSlope_2          1  319397051 1.0851e+12 41560
+ BsmtExposure_2       1  305798338 1.0851e+12 41560
+ Exterior1st_AsphShn  1  282320095 1.0852e+12 41560
+ BldgType_3           1  275741223 1.0852e+12 41560
+ Foundation_2         1  202735154 1.0852e+12 41560
+ CentralAir_Y         1  141432537 1.0853e+12 41561
+ GarageYrBlt          1  128203393 1.0853e+12 41561
+ Exterior1st_WdShing  1  127156047 1.0853e+12 41561
+ Electrical_2         1  111291341 1.0853e+12 41561
+ GarageCond           1   84590380 1.0854e+12 41561
+ YrSold               1   56312968 1.0854e+12 41561
+ BsmtHalfBath         1   35071682 1.0854e+12 41561
+ X3SsnPorch           1   24417726 1.0854e+12 41561
+ Exterior1st_ImStucc  1   19524529 1.0854e+12 41561
+ BsmtCond             1   14589202 1.0854e+12 41561
+ FireplaceQu          1   10507895 1.0854e+12 41561
+ OpenPorchSF          1    9364275 1.0854e+12 41561
+ HouseAge             1    6131236 1.0854e+12 41561
+ HalfBath             1    2632275 1.0854e+12 41561
+ HouseStyle_2         1    1231584 1.0854e+12 41561
+ Exterior1st_Wd.Sdng  1     230525 1.0854e+12 41561
+ MasVnrType_Stone     1      62495 1.0854e+12 41561

Step:  AIC=41556.19
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2

                      Df  Sum of Sq        RSS   AIC
+ BldgType_3           1 3773070899 1.0793e+12 41553
+ Street_Pave          1 2408989734 1.0806e+12 41556
+ Exterior1st_Stucco   1 2225992079 1.0808e+12 41556
<none>                              1.0830e+12 41556
+ Condition1_2         1 1978273291 1.0810e+12 41556
+ BsmtFinType1_2       1 1805237405 1.0812e+12 41557
+ ExterCond            1 1703272684 1.0813e+12 41557
+ X2ndFlrSF            1 1271418955 1.0818e+12 41558
+ Utilities_NoSewr     1 1135702924 1.0819e+12 41558
+ Exterior1st_MetalSd  1 1037228147 1.0820e+12 41558
+ PavedDrive_2         1  984216817 1.0820e+12 41558
+ X1stFlrSF            1  940751786 1.0821e+12 41558
+ HouseStyle_3         1  930392452 1.0821e+12 41558
+ LotShape_2           1  871530198 1.0822e+12 41558
+ Exterior1st_VinylSd  1  790741868 1.0822e+12 41559
+ Exterior1st_BrkComm  1  658437197 1.0824e+12 41559
+ LowQualFinSF         1  652776786 1.0824e+12 41559
+ MiscVal              1  550096156 1.0825e+12 41559
+ GarageType_2         1  524466794 1.0825e+12 41559
+ BsmtExposure_2       1  463457769 1.0826e+12 41559
+ FullBath             1  440533688 1.0826e+12 41559
+ EnclosedPorch        1  412380436 1.0826e+12 41559
+ Exterior1st_HdBoard  1  396936550 1.0826e+12 41559
+ MasVnrType_None      1  337385787 1.0827e+12 41559
+ BsmtFullBath         1  324899477 1.0827e+12 41559
+ Exterior1st_AsphShn  1  278037878 1.0827e+12 41560
+ LandSlope_2          1  225196917 1.0828e+12 41560
+ CentralAir_Y         1  220841383 1.0828e+12 41560
+ Foundation_2         1  161291281 1.0829e+12 41560
+ Electrical_2         1  134848442 1.0829e+12 41560
+ Exterior1st_WdShing  1  124501883 1.0829e+12 41560
+ GarageYrBlt          1   72464380 1.0830e+12 41560
+ GarageCond           1   60164052 1.0830e+12 41560
+ HouseStyle_2         1   40809760 1.0830e+12 41560
+ FireplaceQu          1   40126196 1.0830e+12 41560
+ YrSold               1   36655405 1.0830e+12 41560
+ HouseAge             1   33952863 1.0830e+12 41560
+ BsmtHalfBath         1   28333352 1.0830e+12 41560
+ HalfBath             1   26113264 1.0830e+12 41560
+ X3SsnPorch           1   22189177 1.0830e+12 41560
+ Exterior1st_ImStucc  1   17535042 1.0830e+12 41560
+ OpenPorchSF          1   12563096 1.0830e+12 41560
+ Exterior1st_Wd.Sdng  1    3448297 1.0830e+12 41560
+ BsmtCond             1    2471192 1.0830e+12 41560
+ MasVnrType_Stone     1      24783 1.0830e+12 41560

Step:  AIC=41552.9
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3

                      Df  Sum of Sq        RSS   AIC
+ BsmtFinType1_2       1 2910485772 1.0763e+12 41551
+ Exterior1st_Stucco   1 2113990052 1.0771e+12 41553
+ Street_Pave          1 2098661415 1.0772e+12 41553
<none>                              1.0793e+12 41553
+ Condition1_2         1 1925112862 1.0773e+12 41553
+ ExterCond            1 1672989516 1.0776e+12 41554
+ PavedDrive_2         1 1379257018 1.0779e+12 41554
+ Exterior1st_MetalSd  1 1350458874 1.0779e+12 41554
+ Utilities_NoSewr     1 1118338462 1.0781e+12 41555
+ BsmtExposure_2       1 1009107101 1.0782e+12 41555
+ Exterior1st_VinylSd  1  880867620 1.0784e+12 41555
+ LotShape_2           1  680212441 1.0786e+12 41556
+ Exterior1st_BrkComm  1  632481925 1.0786e+12 41556
+ LowQualFinSF         1  614973011 1.0786e+12 41556
+ MiscVal              1  610974661 1.0786e+12 41556
+ X2ndFlrSF            1  599917557 1.0787e+12 41556
+ GarageType_2         1  512936694 1.0787e+12 41556
+ CentralAir_Y         1  421347922 1.0788e+12 41556
+ Exterior1st_HdBoard  1  413225514 1.0788e+12 41556
+ X1stFlrSF            1  374782865 1.0789e+12 41556
+ BsmtFullBath         1  358884853 1.0789e+12 41556
+ FullBath             1  333734035 1.0789e+12 41556
+ HouseAge             1  324023742 1.0789e+12 41556
+ Exterior1st_AsphShn  1  280286788 1.0790e+12 41556
+ Foundation_2         1  245173986 1.0790e+12 41556
+ EnclosedPorch        1  231676049 1.0790e+12 41556
+ Electrical_2         1  180178844 1.0791e+12 41556
+ LandSlope_2          1  178296552 1.0791e+12 41556
+ MasVnrType_None      1  176639280 1.0791e+12 41556
+ HouseStyle_2         1  169564453 1.0791e+12 41556
+ Exterior1st_WdShing  1  113249137 1.0791e+12 41557
+ HouseStyle_3         1   73831910 1.0792e+12 41557
+ BsmtHalfBath         1   63078385 1.0792e+12 41557
+ GarageCond           1   50368683 1.0792e+12 41557
+ FireplaceQu          1   41641586 1.0792e+12 41557
+ YrSold               1   34927931 1.0792e+12 41557
+ X3SsnPorch           1   29632201 1.0792e+12 41557
+ MasVnrType_Stone     1   27725207 1.0792e+12 41557
+ Exterior1st_ImStucc  1   20294880 1.0792e+12 41557
+ BsmtCond             1   15650432 1.0792e+12 41557
+ HalfBath             1   12664419 1.0792e+12 41557
+ OpenPorchSF          1    4712879 1.0793e+12 41557
+ Exterior1st_Wd.Sdng  1    3877080 1.0793e+12 41557
+ GarageYrBlt          1    2103137 1.0793e+12 41557

Step:  AIC=41551.25
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2

                      Df  Sum of Sq        RSS   AIC
+ BsmtExposure_2       1 2761740670 1.0736e+12 41550
+ Exterior1st_Stucco   1 2280931370 1.0741e+12 41551
+ ExterCond            1 2077651471 1.0743e+12 41551
+ Street_Pave          1 2055659948 1.0743e+12 41551
<none>                              1.0763e+12 41551
+ Condition1_2         1 1886814023 1.0745e+12 41552
+ BsmtCond             1 1642947665 1.0747e+12 41552
+ Exterior1st_MetalSd  1 1509469212 1.0748e+12 41552
+ PavedDrive_2         1 1402724153 1.0749e+12 41552
+ Utilities_NoSewr     1 1308390123 1.0750e+12 41553
+ X2ndFlrSF            1 1300742535 1.0750e+12 41553
+ Exterior1st_VinylSd  1 1089091943 1.0753e+12 41553
+ X1stFlrSF            1  971538818 1.0754e+12 41553
+ GarageType_2         1  775907453 1.0756e+12 41554
+ LotShape_2           1  694650125 1.0756e+12 41554
+ MiscVal              1  610655057 1.0757e+12 41554
+ LowQualFinSF         1  596128311 1.0757e+12 41554
+ FullBath             1  581862528 1.0758e+12 41554
+ Exterior1st_BrkComm  1  574694067 1.0758e+12 41554
+ BsmtFullBath         1  564689984 1.0758e+12 41554
+ CentralAir_Y         1  526433398 1.0758e+12 41554
+ Exterior1st_HdBoard  1  509684312 1.0758e+12 41554
+ Foundation_2         1  476161326 1.0759e+12 41554
+ EnclosedPorch        1  314170165 1.0760e+12 41555
+ MasVnrType_None      1  259716495 1.0761e+12 41555
+ Electrical_2         1  221604628 1.0761e+12 41555
+ Exterior1st_AsphShn  1  206379971 1.0761e+12 41555
+ Exterior1st_WdShing  1  112990257 1.0762e+12 41555
+ GarageYrBlt          1   94705751 1.0762e+12 41555
+ HouseStyle_2         1   83010794 1.0763e+12 41555
+ LandSlope_2          1   60663113 1.0763e+12 41555
+ HouseStyle_3         1   56665799 1.0763e+12 41555
+ GarageCond           1   42715471 1.0763e+12 41555
+ BsmtHalfBath         1   39124999 1.0763e+12 41555
+ YrSold               1   33688427 1.0763e+12 41555
+ Exterior1st_Wd.Sdng  1   26647864 1.0763e+12 41555
+ X3SsnPorch           1   26358678 1.0763e+12 41555
+ HouseAge             1   22023370 1.0763e+12 41555
+ Exterior1st_ImStucc  1   16785728 1.0763e+12 41555
+ FireplaceQu          1    8821702 1.0763e+12 41555
+ MasVnrType_Stone     1    7551634 1.0763e+12 41555
+ OpenPorchSF          1      93109 1.0763e+12 41555
+ HalfBath             1      16435 1.0763e+12 41555

Step:  AIC=41549.86
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2 + BsmtExposure_2

                      Df  Sum of Sq        RSS   AIC
+ Exterior1st_Stucco   1 2246022687 1.0713e+12 41549
+ Street_Pave          1 2074282200 1.0715e+12 41550
+ ExterCond            1 2044344160 1.0715e+12 41550
<none>                              1.0736e+12 41550
+ Condition1_2         1 1857058579 1.0717e+12 41550
+ BsmtCond             1 1621363039 1.0720e+12 41551
+ Exterior1st_MetalSd  1 1481566153 1.0721e+12 41551
+ PavedDrive_2         1 1420686727 1.0722e+12 41551
+ X2ndFlrSF            1 1376787803 1.0722e+12 41551
+ Utilities_NoSewr     1 1307717899 1.0723e+12 41551
+ X1stFlrSF            1 1038768708 1.0725e+12 41552
+ Exterior1st_VinylSd  1 1008474552 1.0726e+12 41552
+ GarageType_2         1  726311439 1.0729e+12 41552
+ LotShape_2           1  677939118 1.0729e+12 41552
+ MiscVal              1  616132837 1.0730e+12 41553
+ LowQualFinSF         1  596097126 1.0730e+12 41553
+ Exterior1st_BrkComm  1  577540932 1.0730e+12 41553
+ BsmtFullBath         1  562784574 1.0730e+12 41553
+ FullBath             1  538757926 1.0730e+12 41553
+ CentralAir_Y         1  526548742 1.0731e+12 41553
+ Exterior1st_HdBoard  1  526021425 1.0731e+12 41553
+ Foundation_2         1  431583085 1.0732e+12 41553
+ EnclosedPorch        1  298275004 1.0733e+12 41553
+ MasVnrType_None      1  260929282 1.0733e+12 41553
+ Electrical_2         1  221631933 1.0734e+12 41553
+ Exterior1st_AsphShn  1  208449551 1.0734e+12 41553
+ Exterior1st_WdShing  1  110092402 1.0735e+12 41554
+ LandSlope_2          1   84279244 1.0735e+12 41554
+ GarageYrBlt          1   81431010 1.0735e+12 41554
+ HouseStyle_2         1   68131008 1.0735e+12 41554
+ GarageCond           1   44759592 1.0735e+12 41554
+ HouseStyle_3         1   44303212 1.0735e+12 41554
+ BsmtHalfBath         1   41640054 1.0735e+12 41554
+ HouseAge             1   34176559 1.0735e+12 41554
+ YrSold               1   27436507 1.0736e+12 41554
+ Exterior1st_Wd.Sdng  1   22190969 1.0736e+12 41554
+ X3SsnPorch           1   22131534 1.0736e+12 41554
+ Exterior1st_ImStucc  1   18567667 1.0736e+12 41554
+ FireplaceQu          1   15970387 1.0736e+12 41554
+ MasVnrType_Stone     1    6809046 1.0736e+12 41554
+ OpenPorchSF          1     560133 1.0736e+12 41554
+ HalfBath             1       1004 1.0736e+12 41554

Step:  AIC=41549.46
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2 + BsmtExposure_2 + Exterior1st_Stucco

                      Df  Sum of Sq        RSS   AIC
+ Street_Pave          1 2372682213 1.0690e+12 41549
+ ExterCond            1 2171999027 1.0692e+12 41549
<none>                              1.0713e+12 41549
+ Condition1_2         1 1937995044 1.0694e+12 41550
+ Exterior1st_MetalSd  1 1834108498 1.0695e+12 41550
+ BsmtCond             1 1717178014 1.0696e+12 41550
+ PavedDrive_2         1 1556508316 1.0698e+12 41550
+ X2ndFlrSF            1 1370960783 1.0700e+12 41551
+ Utilities_NoSewr     1 1271597879 1.0701e+12 41551
+ X1stFlrSF            1 1055288388 1.0703e+12 41551
+ Exterior1st_VinylSd  1  797303248 1.0705e+12 41552
+ LotShape_2           1  669851292 1.0707e+12 41552
+ MiscVal              1  634941936 1.0707e+12 41552
+ Exterior1st_BrkComm  1  602192569 1.0707e+12 41552
+ GarageType_2         1  582158910 1.0708e+12 41552
+ CentralAir_Y         1  551263772 1.0708e+12 41552
+ LowQualFinSF         1  528026099 1.0708e+12 41552
+ BsmtFullBath         1  512579233 1.0708e+12 41552
+ FullBath             1  503660524 1.0708e+12 41552
+ Foundation_2         1  472148584 1.0709e+12 41552
+ Exterior1st_HdBoard  1  427704234 1.0709e+12 41553
+ Electrical_2         1  285637068 1.0711e+12 41553
+ EnclosedPorch        1  263365998 1.0711e+12 41553
+ Exterior1st_AsphShn  1  218696112 1.0711e+12 41553
+ MasVnrType_None      1  207936006 1.0711e+12 41553
+ HouseAge             1  146047363 1.0712e+12 41553
+ Exterior1st_WdShing  1  138861354 1.0712e+12 41553
+ LandSlope_2          1  119935502 1.0712e+12 41553
+ Exterior1st_Wd.Sdng  1   92952015 1.0712e+12 41553
+ HouseStyle_2         1   55494017 1.0713e+12 41553
+ GarageYrBlt          1   48149864 1.0713e+12 41553
+ BsmtHalfBath         1   42114506 1.0713e+12 41553
+ HouseStyle_3         1   39322367 1.0713e+12 41553
+ GarageCond           1   37788468 1.0713e+12 41553
+ X3SsnPorch           1   27821445 1.0713e+12 41553
+ Exterior1st_ImStucc  1   20208241 1.0713e+12 41553
+ YrSold               1   17829067 1.0713e+12 41553
+ MasVnrType_Stone     1   16424540 1.0713e+12 41553
+ FireplaceQu          1    4593451 1.0713e+12 41553
+ OpenPorchSF          1     717388 1.0713e+12 41553
+ HalfBath             1     270285 1.0713e+12 41553

Step:  AIC=41548.8
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2 + BsmtExposure_2 + Exterior1st_Stucco + 
    Street_Pave

                      Df  Sum of Sq        RSS   AIC
+ ExterCond            1 2266220597 1.0667e+12 41548
<none>                              1.0690e+12 41549
+ Exterior1st_MetalSd  1 1985775995 1.0670e+12 41549
+ Condition1_2         1 1939596433 1.0670e+12 41549
+ BsmtCond             1 1651657915 1.0673e+12 41550
+ X2ndFlrSF            1 1522094500 1.0674e+12 41550
+ PavedDrive_2         1 1471404808 1.0675e+12 41550
+ X1stFlrSF            1 1185303107 1.0678e+12 41550
+ Exterior1st_VinylSd  1  801949859 1.0682e+12 41551
+ MiscVal              1  654958800 1.0683e+12 41551
+ LotShape_2           1  647181894 1.0683e+12 41551
+ GarageType_2         1  629337188 1.0683e+12 41551
+ Exterior1st_BrkComm  1  592108771 1.0684e+12 41552
+ Utilities_NoSewr     1  561449823 1.0684e+12 41552
+ LowQualFinSF         1  544216296 1.0684e+12 41552
+ BsmtFullBath         1  528993271 1.0684e+12 41552
+ CentralAir_Y         1  520734894 1.0684e+12 41552
+ FullBath             1  477951591 1.0685e+12 41552
+ Exterior1st_HdBoard  1  420472977 1.0685e+12 41552
+ Foundation_2         1  411758054 1.0686e+12 41552
+ Electrical_2         1  323317134 1.0686e+12 41552
+ MasVnrType_None      1  224540336 1.0687e+12 41552
+ EnclosedPorch        1  212900334 1.0688e+12 41552
+ Exterior1st_AsphShn  1  201603030 1.0688e+12 41552
+ HouseAge             1  167507146 1.0688e+12 41552
+ Exterior1st_WdShing  1  128218268 1.0688e+12 41552
+ LandSlope_2          1  109319201 1.0689e+12 41552
+ Exterior1st_Wd.Sdng  1   70595064 1.0689e+12 41553
+ GarageCond           1   56209722 1.0689e+12 41553
+ BsmtHalfBath         1   52248542 1.0689e+12 41553
+ HouseStyle_2         1   44439421 1.0689e+12 41553
+ HouseStyle_3         1   43374163 1.0689e+12 41553
+ GarageYrBlt          1   28448792 1.0689e+12 41553
+ X3SsnPorch           1   26272748 1.0689e+12 41553
+ Exterior1st_ImStucc  1   20346055 1.0689e+12 41553
+ YrSold               1   18734365 1.0689e+12 41553
+ MasVnrType_Stone     1   15337409 1.0689e+12 41553
+ OpenPorchSF          1    4177875 1.0690e+12 41553
+ HalfBath             1    3626762 1.0690e+12 41553
+ FireplaceQu          1    1487548 1.0690e+12 41553

Step:  AIC=41548.33
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2 + BsmtExposure_2 + Exterior1st_Stucco + 
    Street_Pave + ExterCond

                      Df  Sum of Sq        RSS   AIC
+ Condition1_2         1 2073646234 1.0646e+12 41548
<none>                              1.0667e+12 41548
+ X2ndFlrSF            1 1655732254 1.0650e+12 41549
+ Exterior1st_MetalSd  1 1554714766 1.0651e+12 41549
+ PavedDrive_2         1 1372852112 1.0653e+12 41550
+ X1stFlrSF            1 1308683040 1.0654e+12 41550
+ BsmtCond             1 1232067614 1.0655e+12 41550
+ Exterior1st_VinylSd  1  806525571 1.0659e+12 41551
+ LotShape_2           1  671027816 1.0660e+12 41551
+ Exterior1st_BrkComm  1  609815597 1.0661e+12 41551
+ MiscVal              1  599529858 1.0661e+12 41551
+ BsmtFullBath         1  553183249 1.0661e+12 41551
+ LowQualFinSF         1  536802540 1.0662e+12 41551
+ FullBath             1  526655445 1.0662e+12 41551
+ Utilities_NoSewr     1  489564784 1.0662e+12 41551
+ GarageType_2         1  459853963 1.0662e+12 41551
+ CentralAir_Y         1  383678983 1.0663e+12 41552
+ HouseAge             1  377660199 1.0663e+12 41552
+ Exterior1st_HdBoard  1  337837534 1.0664e+12 41552
+ Exterior1st_AsphShn  1  259091975 1.0664e+12 41552
+ Electrical_2         1  204243896 1.0665e+12 41552
+ Foundation_2         1  194337232 1.0665e+12 41552
+ Exterior1st_WdShing  1  192250635 1.0665e+12 41552
+ MasVnrType_None      1  161843154 1.0665e+12 41552
+ EnclosedPorch        1  132062046 1.0666e+12 41552
+ Exterior1st_Wd.Sdng  1  108688782 1.0666e+12 41552
+ GarageCond           1  105891272 1.0666e+12 41552
+ LandSlope_2          1  104602974 1.0666e+12 41552
+ BsmtHalfBath         1   68342727 1.0666e+12 41552
+ MasVnrType_Stone     1   32288937 1.0667e+12 41552
+ HalfBath             1   28436553 1.0667e+12 41552
+ Exterior1st_ImStucc  1   24749939 1.0667e+12 41552
+ HouseStyle_2         1   23968504 1.0667e+12 41552
+ YrSold               1   23501799 1.0667e+12 41552
+ X3SsnPorch           1   14274913 1.0667e+12 41552
+ HouseStyle_3         1   11436917 1.0667e+12 41552
+ FireplaceQu          1    6325095 1.0667e+12 41552
+ OpenPorchSF          1    3645804 1.0667e+12 41552
+ GarageYrBlt          1     883292 1.0667e+12 41552

Step:  AIC=41548.23
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2 + BsmtExposure_2 + Exterior1st_Stucco + 
    Street_Pave + ExterCond + Condition1_2

                      Df  Sum of Sq        RSS   AIC
<none>                              1.0646e+12 41548
+ X2ndFlrSF            1 1795278045 1.0628e+12 41549
+ Exterior1st_MetalSd  1 1617235401 1.0630e+12 41549
+ X1stFlrSF            1 1451430517 1.0632e+12 41549
+ PavedDrive_2         1 1299013249 1.0633e+12 41550
+ BsmtCond             1 1155757621 1.0635e+12 41550
+ Exterior1st_VinylSd  1  899423873 1.0637e+12 41550
+ Exterior1st_BrkComm  1  640584702 1.0640e+12 41551
+ LotShape_2           1  635764083 1.0640e+12 41551
+ MiscVal              1  618243601 1.0640e+12 41551
+ FullBath             1  600619510 1.0640e+12 41551
+ BsmtFullBath         1  518013245 1.0641e+12 41551
+ LowQualFinSF         1  497318206 1.0641e+12 41551
+ GarageType_2         1  493234244 1.0641e+12 41551
+ Utilities_NoSewr     1  491410325 1.0641e+12 41551
+ CentralAir_Y         1  425633032 1.0642e+12 41551
+ Exterior1st_HdBoard  1  359902475 1.0643e+12 41551
+ HouseAge             1  324725088 1.0643e+12 41552
+ Exterior1st_AsphShn  1  254833505 1.0644e+12 41552
+ MasVnrType_None      1  213790329 1.0644e+12 41552
+ Foundation_2         1  207993971 1.0644e+12 41552
+ Electrical_2         1  197417669 1.0644e+12 41552
+ Exterior1st_WdShing  1  194567787 1.0644e+12 41552
+ Exterior1st_Wd.Sdng  1  142874224 1.0645e+12 41552
+ EnclosedPorch        1  133928463 1.0645e+12 41552
+ LandSlope_2          1  112344617 1.0645e+12 41552
+ GarageCond           1   94203731 1.0645e+12 41552
+ HouseStyle_2         1   46148786 1.0646e+12 41552
+ BsmtHalfBath         1   44448849 1.0646e+12 41552
+ HalfBath             1   34507529 1.0646e+12 41552
+ Exterior1st_ImStucc  1   27123525 1.0646e+12 41552
+ YrSold               1   26080104 1.0646e+12 41552
+ HouseStyle_3         1   22288071 1.0646e+12 41552
+ MasVnrType_Stone     1   15215547 1.0646e+12 41552
+ FireplaceQu          1    6434943 1.0646e+12 41552
+ GarageYrBlt          1    4898608 1.0646e+12 41552
+ X3SsnPorch           1    3357455 1.0646e+12 41552
+ OpenPorchSF          1     328541 1.0646e+12 41552

formula(backwardBIC)
SalePrice ~ GrLivArea + LotFrontage + LotArea + MasVnrArea + 
    ExterQual + BsmtQual + BsmtFinSF1 + BsmtFinSF2 + BsmtUnfSF + 
    HeatingQC + BedroomAbvGr + KitchenAbvGr + KitchenQual + TotRmsAbvGrd + 
    Fireplaces + GarageArea + GarageCond + WoodDeckSF + ScreenPorch + 
    PoolArea + PoolQC + RemodelAge + MSZoning_2 + Street_Pave + 
    Neighborhood_Tier_2 + Neighborhood_Tier_3 + Condition1_2 + 
    BldgType_2 + BldgType_3 + Exterior1st_BrkFace + Exterior1st_CemntBd + 
    Exterior1st_MetalSd + Exterior1st_PreCast + Exterior1st_Stucco + 
    MasVnrType_None + MasVnrType_Stone + BsmtExposure_2 + BsmtExposure_3 + 
    BsmtFinType1_2 + BsmtFinType1_3 + Functional_2 + GarageFinish_2 + 
    SaleCondition_2
formula(forwardAIC)
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2 + BsmtExposure_2 + Exterior1st_Stucco + 
    Street_Pave + ExterCond + Condition1_2 + X2ndFlrSF + Exterior1st_MetalSd + 
    PavedDrive_2 + HouseStyle_2
formula(forwardBIC)
SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + TotalBsmtSF + 
    KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2 + BsmtExposure_2 + Exterior1st_Stucco + 
    Street_Pave + ExterCond + Condition1_2
plot(forwardBIC)
not plotting observations with leverage one:
  631

Warning messages:
1: In readChar(file, size, TRUE) : truncating string with embedded nuls
2: In readChar(file, size, TRUE) : truncating string with embedded nuls
3: In readChar(file, size, TRUE) : truncating string with embedded nuls
4: In readChar(file, size, TRUE) : truncating string with embedded nuls
5: In readChar(file, size, TRUE) : truncating string with embedded nuls

summary(forwardBIC)

Call:
lm(formula = SalePrice ~ GrLivArea + ExterQual + BsmtFinSF1 + 
    TotalBsmtSF + KitchenQual + GarageCars + KitchenAbvGr + BsmtExposure_3 + 
    Neighborhood_Tier_3 + MasVnrArea + Functional_2 + SaleCondition_2 + 
    BedroomAbvGr + MSSubClass + BsmtQual + Fireplaces + MasVnrType_BrkFace + 
    RemodelAge + GarageArea + Exterior1st_BrkFace + LotArea + 
    Exterior1st_Plywood + ScreenPorch + GarageFinish_2 + Neighborhood_Tier_2 + 
    Exterior1st_CemntBd + MSZoning_2 + PoolQC + PoolArea + LotFrontage + 
    BsmtFinType1_3 + GarageQual + BsmtFinSF2 + TotRmsAbvGrd + 
    Exterior1st_PreCast + WoodDeckSF + HeatingQC + BldgType_2 + 
    BldgType_3 + BsmtFinType1_2 + BsmtExposure_2 + Exterior1st_Stucco + 
    Street_Pave + ExterCond + Condition1_2, data = df)

Residuals:
   Min     1Q Median     3Q    Max 
-98063 -12379    109  12199 149023 

Coefficients:
                      Estimate Std. Error t value Pr(>|t|)    
(Intercept)         -8.762e+03  1.426e+04  -0.615 0.538928    
GrLivArea            5.882e+01  2.357e+00  24.959  < 2e-16 ***
ExterQual            1.218e+04  1.566e+03   7.778 1.17e-14 ***
BsmtFinSF1           1.802e+01  1.705e+00  10.567  < 2e-16 ***
TotalBsmtSF          2.442e+01  2.268e+00  10.768  < 2e-16 ***
KitchenQual          9.809e+03  1.278e+03   7.673 2.60e-14 ***
GarageCars           2.590e+03  1.704e+03   1.520 0.128657    
KitchenAbvGr        -1.639e+04  3.654e+03  -4.486 7.67e-06 ***
BsmtExposure_3      -1.732e+04  2.039e+03  -8.492  < 2e-16 ***
Neighborhood_Tier_3 -1.460e+04  1.951e+03  -7.485 1.06e-13 ***
MasVnrArea           4.809e+01  4.148e+00  11.596  < 2e-16 ***
Functional_2        -2.176e+04  2.188e+03  -9.944  < 2e-16 ***
SaleCondition_2     -2.387e+04  3.248e+03  -7.349 2.88e-13 ***
BedroomAbvGr        -6.430e+03  9.803e+02  -6.560 6.84e-11 ***
MSSubClass          -1.339e+01  2.706e+01  -0.495 0.620811    
BsmtQual             6.577e+03  1.235e+03   5.324 1.13e-07 ***
Fireplaces           6.386e+03  1.001e+03   6.380 2.20e-10 ***
MasVnrType_BrkFace  -7.370e+03  1.440e+03  -5.119 3.36e-07 ***
RemodelAge          -1.563e+02  3.672e+01  -4.257 2.17e-05 ***
GarageArea           2.548e+01  5.947e+00   4.284 1.92e-05 ***
Exterior1st_BrkFace  1.216e+04  3.059e+03   3.976 7.25e-05 ***
LotArea              2.826e-01  6.902e-02   4.095 4.39e-05 ***
Exterior1st_Plywood -5.957e+03  2.076e+03  -2.870 0.004145 ** 
ScreenPorch          3.851e+01  9.248e+00   4.164 3.25e-05 ***
GarageFinish_2      -4.237e+03  1.382e+03  -3.065 0.002202 ** 
Neighborhood_Tier_2 -7.085e+03  1.662e+03  -4.262 2.12e-05 ***
Exterior1st_CemntBd  1.212e+04  2.917e+03   4.154 3.40e-05 ***
MSZoning_2          -4.609e+03  1.662e+03  -2.773 0.005608 ** 
PoolQC               3.058e+04  4.116e+03   7.428 1.62e-13 ***
PoolArea            -2.208e+02  3.175e+01  -6.954 4.77e-12 ***
LotFrontage          6.747e+01  3.147e+01   2.144 0.032140 *  
BsmtFinType1_3      -3.750e+03  1.578e+03  -2.377 0.017566 *  
GarageQual          -2.666e+03  9.691e+02  -2.751 0.005987 ** 
BsmtFinSF2           7.866e+00  3.144e+00   2.502 0.012418 *  
TotRmsAbvGrd         1.513e+03  6.999e+02   2.162 0.030768 *  
Exterior1st_PreCast  5.990e+04  2.342e+04   2.558 0.010599 *  
WoodDeckSF           1.068e+01  4.315e+00   2.474 0.013438 *  
HeatingQC            1.516e+03  6.744e+02   2.249 0.024651 *  
BldgType_2          -1.248e+04  3.419e+03  -3.650 0.000269 ***
BldgType_3          -1.064e+04  3.675e+03  -2.894 0.003842 ** 
BsmtFinType1_2       5.257e+04  1.744e+04   3.015 0.002601 ** 
BsmtExposure_2      -3.709e+04  1.648e+04  -2.251 0.024491 *  
Exterior1st_Stucco   1.023e+04  4.457e+03   2.296 0.021754 *  
Street_Pave          1.964e+04  9.079e+03   2.163 0.030633 *  
ExterCond            3.027e+03  1.420e+03   2.132 0.033131 *  
Condition1_2        -5.191e+03  2.619e+03  -1.982 0.047660 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 22980 on 2016 degrees of freedom
Multiple R-squared:  0.9035,    Adjusted R-squared:  0.9013 
F-statistic: 419.2 on 45 and 2016 DF,  p-value: < 2.2e-16
vif(forwardBIC)
          GrLivArea           ExterQual          BsmtFinSF1         TotalBsmtSF         KitchenQual          GarageCars        KitchenAbvGr 
           5.009407            2.976058            2.089246            3.477496            2.549007            6.198852            2.281667 
     BsmtExposure_3 Neighborhood_Tier_3          MasVnrArea        Functional_2     SaleCondition_2        BedroomAbvGr          MSSubClass 
           1.694218            3.696366            1.990528            1.159925            1.107316            2.541387            5.215563 
           BsmtQual          Fireplaces  MasVnrType_BrkFace          RemodelAge          GarageArea Exterior1st_BrkFace             LotArea 
           4.574172            1.622332            1.748548            2.219556            5.812527            1.148511            1.353248 
Exterior1st_Plywood         ScreenPorch      GarageFinish_2 Neighborhood_Tier_2 Exterior1st_CemntBd          MSZoning_2              PoolQC 
           1.176384            1.102355            1.345517            2.192810            1.164492            1.561529            2.816178 
           PoolArea         LotFrontage      BsmtFinType1_3          GarageQual          BsmtFinSF2        TotRmsAbvGrd Exterior1st_PreCast 
           2.845269            1.636533            2.120820            1.750294            1.144799            4.500592            1.037902 
         WoodDeckSF           HeatingQC          BldgType_2          BldgType_3      BsmtFinType1_2      BsmtExposure_2  Exterior1st_Stucco 
           1.231717            1.639040            3.154155            4.391172           30.276226           28.013284            1.038815 
        Street_Pave           ExterCond        Condition1_2 
           1.088796            1.114189            1.046972 
vif(forwardAIC)
          GrLivArea           ExterQual          BsmtFinSF1         TotalBsmtSF         KitchenQual          GarageCars        KitchenAbvGr 
          10.322715            3.005650            2.102183            6.068359            2.557559            6.242091            2.312494 
     BsmtExposure_3 Neighborhood_Tier_3          MasVnrArea        Functional_2     SaleCondition_2        BedroomAbvGr          MSSubClass 
           1.703212            3.729348            1.993601            1.191937            1.107576            2.616988            5.602662 
           BsmtQual          Fireplaces  MasVnrType_BrkFace          RemodelAge          GarageArea Exterior1st_BrkFace             LotArea 
           4.652902            1.643453            1.767321            2.266473            5.837933            1.171491            1.365796 
Exterior1st_Plywood         ScreenPorch      GarageFinish_2 Neighborhood_Tier_2 Exterior1st_CemntBd          MSZoning_2              PoolQC 
           1.207527            1.103340            1.346616            2.199617            1.191241            1.600157            2.884723 
           PoolArea         LotFrontage      BsmtFinType1_3          GarageQual          BsmtFinSF2        TotRmsAbvGrd Exterior1st_PreCast 
           2.877948            1.684691            2.123097            1.827931            1.150827            4.528437            1.039441 
         WoodDeckSF           HeatingQC          BldgType_2          BldgType_3      BsmtFinType1_2      BsmtExposure_2  Exterior1st_Stucco 
           1.236286            1.648621            3.371016            4.565322           30.537582           28.027245            1.048571 
        Street_Pave           ExterCond        Condition1_2           X2ndFlrSF Exterior1st_MetalSd        PavedDrive_2        HouseStyle_2 
           1.092253            1.131340            1.054609            9.870454            1.192654            1.330428            3.737638 

LOG TRANSFORM TARGET

head(df_log$SalePrice)
[1] 11.34923 12.10901 11.98262 12.68386 12.20607 12.20607
# log price saturated model
model.saturated.log = lm(SalePrice ~ ., data = df_log)
model.empty.log = lm(SalePrice ~ 1, data = df_log) #The model with an intercept ONLY.
scope = list(lower = formula(model.empty.log), upper = formula(model.saturated.log))

fowardBIClog = step(model.empty.log, scope, direction = "forward", k = log(50))
Start:  AIC=-3958.6
SalePrice ~ 1

                      Df Sum of Sq    RSS     AIC
+ GrLivArea            1   156.888 144.91 -5467.5
+ GarageCars           1   137.242 164.55 -5205.3
+ ExterQual            1   134.529 167.27 -5171.6
+ KitchenQual          1   131.334 170.46 -5132.6
+ GarageArea           1   128.800 173.00 -5102.2
+ TotalBsmtSF          1   123.884 177.91 -5044.4
+ X1stFlrSF            1   117.153 184.64 -4967.8
+ BsmtQual             1   113.541 188.25 -4927.9
+ HouseAge             1   107.200 194.59 -4859.6
+ FullBath             1   100.548 201.25 -4790.2
+ RemodelAge           1    98.659 203.14 -4771.0
+ FireplaceQu          1    90.077 211.72 -4685.7
+ Neighborhood_Tier_3  1    89.654 212.14 -4681.5
+ GarageYrBlt          1    86.525 215.27 -4651.3
+ GarageType_2         1    85.084 216.71 -4637.6
+ Foundation_2         1    80.771 221.02 -4596.9
+ Fireplaces           1    78.865 222.93 -4579.3
+ HeatingQC            1    72.166 229.63 -4518.2
+ TotRmsAbvGrd         1    70.892 230.90 -4506.8
+ BsmtFinSF1           1    57.717 244.08 -4392.4
+ MasVnrArea           1    53.686 248.11 -4358.6
+ GarageFinish_2       1    50.424 251.37 -4331.7
+ MSZoning_2           1    47.954 253.84 -4311.5
+ MasVnrType_None      1    44.751 257.04 -4285.6
+ BsmtFinType1_3       1    43.012 258.78 -4271.7
+ CentralAir_Y         1    41.460 260.33 -4259.4
+ Exterior1st_VinylSd  1    38.391 263.40 -4235.2
+ LotFrontage          1    35.183 266.61 -4210.3
+ GarageQual           1    34.784 267.01 -4207.2
+ PavedDrive_2         1    34.575 267.22 -4205.6
+ WoodDeckSF           1    32.453 269.34 -4189.3
+ GarageCond           1    32.209 269.59 -4187.4
+ LotShape_2           1    31.262 270.53 -4180.2
+ Electrical_2         1    29.308 272.49 -4165.3
+ OpenPorchSF          1    27.698 274.10 -4153.2
+ BsmtFullBath         1    27.491 274.30 -4151.6
+ HalfBath             1    27.354 274.44 -4150.6
+ MasVnrType_BrkFace   1    23.386 278.41 -4121.0
+ X2ndFlrSF            1    21.631 280.16 -4108.0
+ BsmtCond             1    21.320 280.48 -4105.8
+ LotArea              1    20.435 281.36 -4099.3
+ MasVnrType_Stone     1    17.928 283.87 -4081.0
+ HouseStyle_2         1    14.793 287.00 -4058.3
+ BsmtFinType1_2       1    12.867 288.93 -4044.5
+ SaleCondition_2      1    12.357 289.44 -4040.9
+ BedroomAbvGr         1    12.162 289.63 -4039.5
+ BsmtExposure_2       1    11.998 289.80 -4038.3
+ BldgType_3           1    11.298 290.50 -4033.4
+ Exterior1st_Wd.Sdng  1    10.031 291.76 -4024.4
+ BsmtExposure_3       1     9.633 292.16 -4021.6
+ Exterior1st_MetalSd  1     9.483 292.31 -4020.5
+ BsmtUnfSF            1     9.124 292.67 -4018.0
+ Neighborhood_Tier_2  1     5.740 296.06 -3994.3
+ KitchenAbvGr         1     5.010 296.79 -3989.2
+ EnclosedPorch        1     4.778 297.02 -3987.6
+ ScreenPorch          1     4.087 297.71 -3982.8
+ Functional_2         1     3.727 298.07 -3980.3
+ Condition1_2         1     2.689 299.11 -3973.1
+ Exterior1st_HdBoard  1     1.938 299.86 -3968.0
+ PoolQC               1     1.834 299.96 -3967.3
+ MSSubClass           1     1.825 299.97 -3967.2
+ Exterior1st_CemntBd  1     1.805 299.99 -3967.1
+ LandSlope_2          1     1.329 300.47 -3963.8
+ Street_Pave          1     1.263 300.53 -3963.3
+ Utilities_NoSewr     1     1.004 300.79 -3961.6
+ Exterior1st_AsphShn  1     0.719 301.08 -3959.6
+ BldgType_2           1     0.712 301.08 -3959.6
+ Exterior1st_Stucco   1     0.685 301.11 -3959.4
+ X3SsnPorch           1     0.628 301.17 -3959.0
+ Exterior1st_WdShing  1     0.580 301.21 -3958.7
+ HouseStyle_3         1     0.576 301.22 -3958.6
<none>                             301.80 -3958.6
+ PoolArea             1     0.571 301.22 -3958.6
+ BsmtFinSF2           1     0.388 301.41 -3957.3
+ BsmtHalfBath         1     0.376 301.42 -3957.3
+ LowQualFinSF         1     0.276 301.52 -3956.6
+ ExterCond            1     0.234 301.56 -3956.3
+ Exterior1st_ImStucc  1     0.212 301.58 -3956.1
+ Exterior1st_PreCast  1     0.205 301.59 -3956.1
+ Exterior1st_BrkFace  1     0.171 301.62 -3955.9
+ Exterior1st_BrkComm  1     0.072 301.72 -3955.2
+ MiscVal              1     0.056 301.74 -3955.1
+ YrSold               1     0.000 301.80 -3954.7
+ Exterior1st_Plywood  1     0.000 301.80 -3954.7

Step:  AIC=-5467.49
SalePrice ~ GrLivArea

                      Df Sum of Sq     RSS     AIC
+ HouseAge             1    60.560  84.347 -6579.4
+ ExterQual            1    51.494  93.413 -6368.9
+ BsmtQual             1    51.083  93.823 -6359.9
+ KitchenQual          1    47.982  96.925 -6292.8
+ TotalBsmtSF          1    45.558  99.349 -6241.9
+ Neighborhood_Tier_3  1    42.276 102.630 -6174.9
+ GarageCars           1    40.928 103.978 -6148.0
+ RemodelAge           1    40.502 104.405 -6139.5
+ GarageYrBlt          1    39.950 104.956 -6128.7
+ GarageArea           1    39.149 105.757 -6113.0
+ BsmtFinSF1           1    34.096 110.811 -6016.7
+ GarageType_2         1    33.314 111.593 -6002.2
+ Foundation_2         1    29.240 115.667 -5928.3
+ HeatingQC            1    25.895 119.011 -5869.5
+ CentralAir_Y         1    25.020 119.887 -5854.4
+ MSZoning_2           1    24.870 120.037 -5851.8
+ X1stFlrSF            1    24.567 120.340 -5846.6
+ BsmtFinType1_3       1    22.904 122.003 -5818.3
+ X2ndFlrSF            1    22.747 122.159 -5815.7
+ BsmtFullBath         1    21.195 123.711 -5789.7
+ PavedDrive_2         1    20.191 124.716 -5773.0
+ KitchenAbvGr         1    16.895 128.012 -5719.2
+ GarageQual           1    16.730 128.177 -5716.5
+ GarageCond           1    16.666 128.241 -5715.5
+ BedroomAbvGr         1    16.311 128.595 -5709.8
+ FireplaceQu          1    16.227 128.680 -5708.5
+ Exterior1st_VinylSd  1    15.379 129.528 -5694.9
+ BsmtCond             1    15.004 129.902 -5689.0
+ Electrical_2         1    14.258 130.649 -5677.2
+ GarageFinish_2       1    14.194 130.712 -5676.2
+ MasVnrType_None      1    13.949 130.958 -5672.3
+ BldgType_3           1    11.955 132.952 -5641.1
+ Fireplaces           1    11.804 133.103 -5638.8
+ LotShape_2           1    10.375 134.532 -5616.8
+ MasVnrArea           1     9.733 135.174 -5606.9
+ Functional_2         1     9.294 135.612 -5600.3
+ MasVnrType_Stone     1     9.219 135.687 -5599.1
+ BsmtFinType1_2       1     8.669 136.237 -5590.8
+ BsmtExposure_2       1     8.197 136.710 -5583.6
+ WoodDeckSF           1     7.556 137.351 -5574.0
+ TotRmsAbvGrd         1     7.134 137.773 -5567.7
+ HouseStyle_2         1     6.739 138.168 -5561.8
+ Exterior1st_Wd.Sdng  1     6.217 138.690 -5554.0
+ SaleCondition_2      1     6.099 138.808 -5552.2
+ FullBath             1     5.961 138.946 -5550.2
+ EnclosedPorch        1     5.749 139.158 -5547.0
+ MSSubClass           1     5.427 139.480 -5542.3
+ MasVnrType_BrkFace   1     5.146 139.761 -5538.1
+ LotFrontage          1     4.936 139.971 -5535.0
+ BldgType_2           1     4.400 140.507 -5527.2
+ BsmtExposure_3       1     3.505 141.401 -5514.1
+ LowQualFinSF         1     2.578 142.329 -5500.6
+ Exterior1st_MetalSd  1     2.565 142.341 -5500.4
+ OpenPorchSF          1     2.285 142.622 -5496.4
+ LotArea              1     2.195 142.712 -5495.0
+ Neighborhood_Tier_2  1     1.179 143.728 -5480.4
+ HouseStyle_3         1     1.123 143.783 -5479.6
+ Exterior1st_AsphShn  1     0.744 144.162 -5474.2
+ ScreenPorch          1     0.623 144.284 -5472.5
+ BsmtFinSF2           1     0.540 144.367 -5471.3
+ LandSlope_2          1     0.537 144.370 -5471.2
+ Utilities_NoSewr     1     0.523 144.384 -5471.0
+ Exterior1st_CemntBd  1     0.488 144.418 -5470.5
+ ExterCond            1     0.468 144.439 -5470.2
+ Exterior1st_Stucco   1     0.428 144.479 -5469.7
+ X3SsnPorch           1     0.343 144.564 -5468.5
<none>                             144.907 -5467.5
+ Street_Pave          1     0.262 144.645 -5467.3
+ Exterior1st_WdShing  1     0.209 144.698 -5466.6
+ Exterior1st_PreCast  1     0.189 144.718 -5466.3
+ PoolArea             1     0.171 144.736 -5466.0
+ Exterior1st_ImStucc  1     0.146 144.761 -5465.7
+ Condition1_2         1     0.106 144.801 -5465.1
+ Exterior1st_BrkComm  1     0.083 144.824 -5464.8
+ BsmtHalfBath         1     0.069 144.838 -5464.6
+ HalfBath             1     0.066 144.841 -5464.5
+ Exterior1st_Plywood  1     0.058 144.849 -5464.4
+ MiscVal              1     0.057 144.850 -5464.4
+ PoolQC               1     0.005 144.902 -5463.6
+ YrSold               1     0.003 144.903 -5463.6
+ BsmtUnfSF            1     0.003 144.904 -5463.6
+ Exterior1st_HdBoard  1     0.003 144.904 -5463.6
+ Exterior1st_BrkFace  1     0.000 144.906 -5463.6

Step:  AIC=-6579.44
SalePrice ~ GrLivArea + HouseAge

                      Df Sum of Sq    RSS     AIC
+ TotalBsmtSF          1   19.1870 65.160 -7107.7
+ BsmtFinSF1           1   14.2939 70.053 -6958.4
+ KitchenQual          1   13.0652 71.282 -6922.6
+ X1stFlrSF            1   12.0414 72.305 -6893.2
+ ExterQual            1   11.6481 72.699 -6882.0
+ X2ndFlrSF            1   11.6003 72.747 -6880.6
+ GarageArea           1   11.0224 73.324 -6864.3
+ BsmtQual             1   10.2915 74.055 -6843.8
+ GarageCars           1    9.3961 74.951 -6819.1
+ BldgType_3           1    8.9855 75.361 -6807.8
+ FireplaceQu          1    8.7131 75.634 -6800.4
+ Fireplaces           1    8.2065 76.140 -6786.6
+ BsmtFullBath         1    7.8746 76.472 -6777.6
+ HouseStyle_2         1    7.8563 76.491 -6777.1
+ KitchenAbvGr         1    6.8421 77.505 -6750.0
+ MSSubClass           1    6.4182 77.929 -6738.7
+ BsmtCond             1    6.3509 77.996 -6736.9
+ RemodelAge           1    6.2086 78.138 -6733.2
+ BedroomAbvGr         1    5.9743 78.373 -6727.0
+ GarageCond           1    5.4251 78.922 -6712.6
+ HeatingQC            1    5.3536 78.993 -6710.7
+ CentralAir_Y         1    5.2559 79.091 -6708.2
+ BsmtFinType1_2       1    5.1968 79.150 -6706.7
+ BsmtExposure_2       1    5.0956 79.251 -6704.0
+ GarageQual           1    4.9675 79.379 -6700.7
+ Neighborhood_Tier_3  1    4.5427 79.804 -6689.7
+ LotFrontage          1    4.0065 80.340 -6675.9
+ HalfBath             1    3.7338 80.613 -6668.9
+ MSZoning_2           1    3.6768 80.670 -6667.4
+ LotArea              1    3.4652 80.882 -6662.0
+ GarageType_2         1    3.3401 81.007 -6658.8
+ Functional_2         1    2.7873 81.560 -6644.8
+ ExterCond            1    2.3117 82.035 -6632.8
+ MasVnrType_Stone     1    2.3055 82.041 -6632.7
+ WoodDeckSF           1    2.0444 82.302 -6626.1
+ BsmtFinType1_3       1    2.0286 82.318 -6625.7
+ TotRmsAbvGrd         1    1.9910 82.356 -6624.8
+ LotShape_2           1    1.8554 82.491 -6621.4
+ ScreenPorch          1    1.8077 82.539 -6620.2
+ MasVnrArea           1    1.6538 82.693 -6616.4
+ Electrical_2         1    1.6365 82.710 -6615.9
+ PavedDrive_2         1    1.3520 82.995 -6608.8
+ GarageFinish_2       1    1.3215 83.025 -6608.1
+ BsmtExposure_3       1    1.1708 83.176 -6604.3
+ MasVnrType_None      1    1.1536 83.193 -6603.9
+ LandSlope_2          1    1.0179 83.329 -6600.6
+ SaleCondition_2      1    0.9984 83.348 -6600.1
+ Foundation_2         1    0.7523 83.595 -6594.0
+ FullBath             1    0.6048 83.742 -6590.4
+ BsmtFinSF2           1    0.5631 83.784 -6589.3
+ Exterior1st_HdBoard  1    0.4686 83.878 -6587.0
+ Exterior1st_BrkFace  1    0.4359 83.911 -6586.2
+ Exterior1st_Wd.Sdng  1    0.4171 83.930 -6585.7
+ Exterior1st_PreCast  1    0.3836 83.963 -6584.9
+ Exterior1st_AsphShn  1    0.3545 83.992 -6584.2
+ Exterior1st_Stucco   1    0.3460 84.001 -6584.0
+ OpenPorchSF          1    0.3071 84.040 -6583.0
+ X3SsnPorch           1    0.2392 84.108 -6581.4
+ EnclosedPorch        1    0.2166 84.130 -6580.8
+ LowQualFinSF         1    0.2075 84.139 -6580.6
+ GarageYrBlt          1    0.1898 84.157 -6580.2
+ Utilities_NoSewr     1    0.1808 84.166 -6579.9
<none>                             84.347 -6579.4
+ BsmtHalfBath         1    0.1547 84.192 -6579.3
+ Exterior1st_Plywood  1    0.1449 84.202 -6579.1
+ PoolArea             1    0.1029 84.244 -6578.0
+ MasVnrType_BrkFace   1    0.0718 84.275 -6577.3
+ HouseStyle_3         1    0.0660 84.281 -6577.1
+ Exterior1st_ImStucc  1    0.0583 84.289 -6576.9
+ Condition1_2         1    0.0579 84.289 -6576.9
+ YrSold               1    0.0538 84.293 -6576.8
+ BsmtUnfSF            1    0.0487 84.298 -6576.7
+ Exterior1st_VinylSd  1    0.0461 84.301 -6576.7
+ Street_Pave          1    0.0354 84.311 -6576.4
+ Exterior1st_MetalSd  1    0.0087 84.338 -6575.7
+ PoolQC               1    0.0051 84.342 -6575.6
+ Exterior1st_WdShing  1    0.0037 84.343 -6575.6
+ BldgType_2           1    0.0020 84.345 -6575.6
+ Neighborhood_Tier_2  1    0.0015 84.345 -6575.6
+ Exterior1st_BrkComm  1    0.0001 84.347 -6575.5
+ MiscVal              1    0.0000 84.347 -6575.5
+ Exterior1st_CemntBd  1    0.0000 84.347 -6575.5

Step:  AIC=-7107.71
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF

                      Df Sum of Sq    RSS     AIC
+ KitchenQual          1    8.7418 56.418 -7400.8
+ RemodelAge           1    7.0045 58.155 -7338.3
+ ExterQual            1    6.9262 58.234 -7335.5
+ BldgType_3           1    6.3144 58.845 -7314.0
+ KitchenAbvGr         1    6.1875 58.972 -7309.5
+ GarageCars           1    5.5121 59.648 -7286.1
+ GarageArea           1    5.5064 59.653 -7285.9
+ FireplaceQu          1    5.4240 59.736 -7283.0
+ HeatingQC            1    5.1392 60.021 -7273.2
+ Fireplaces           1    4.8220 60.338 -7262.3
+ GarageCond           1    4.5350 60.625 -7252.6
+ Neighborhood_Tier_3  1    4.5059 60.654 -7251.6
+ GarageQual           1    4.0299 61.130 -7235.4
+ BsmtFinSF1           1    4.0214 61.138 -7235.2
+ BsmtUnfSF            1    3.8915 61.268 -7230.8
+ BedroomAbvGr         1    3.8107 61.349 -7228.1
+ CentralAir_Y         1    3.6944 61.466 -7224.2
+ BsmtFinType1_3       1    2.5915 62.568 -7187.5
+ ExterCond            1    2.5130 62.647 -7184.9
+ BsmtQual             1    2.5028 62.657 -7184.6
+ BsmtFullBath         1    2.4390 62.721 -7182.5
+ Functional_2         1    2.1540 63.006 -7173.1
+ MSZoning_2           1    1.8470 63.313 -7163.1
+ GarageType_2         1    1.6595 63.500 -7157.0
+ LotFrontage          1    1.4636 63.696 -7150.6
+ MSSubClass           1    1.4418 63.718 -7149.9
+ Electrical_2         1    1.3852 63.775 -7148.1
+ LotArea              1    1.3844 63.775 -7148.1
+ GarageFinish_2       1    1.3434 63.816 -7146.8
+ WoodDeckSF           1    1.2460 63.914 -7143.6
+ LotShape_2           1    1.2229 63.937 -7142.9
+ BsmtExposure_3       1    1.2192 63.941 -7142.7
+ TotRmsAbvGrd         1    1.1407 64.019 -7140.2
+ ScreenPorch          1    0.9794 64.180 -7135.0
+ BsmtCond             1    0.9561 64.204 -7134.3
+ Foundation_2         1    0.9138 64.246 -7132.9
+ PavedDrive_2         1    0.7085 64.451 -7126.3
+ LandSlope_2          1    0.5917 64.568 -7122.6
+ SaleCondition_2      1    0.5436 64.616 -7121.1
+ MasVnrType_Stone     1    0.5009 64.659 -7119.7
+ HouseStyle_3         1    0.4210 64.739 -7117.2
+ Exterior1st_Stucco   1    0.3820 64.778 -7115.9
+ GarageYrBlt          1    0.3743 64.786 -7115.7
+ MasVnrArea           1    0.3492 64.811 -7114.9
+ Exterior1st_Plywood  1    0.3124 64.847 -7113.7
+ Exterior1st_HdBoard  1    0.3079 64.852 -7113.6
+ FullBath             1    0.2904 64.869 -7113.0
+ Neighborhood_Tier_2  1    0.2771 64.883 -7112.6
+ BsmtExposure_2       1    0.2532 64.907 -7111.8
+ Exterior1st_VinylSd  1    0.2510 64.909 -7111.8
+ BsmtFinType1_2       1    0.2406 64.919 -7111.4
+ Exterior1st_Wd.Sdng  1    0.2091 64.951 -7110.4
+ X1stFlrSF            1    0.2042 64.956 -7110.3
+ Utilities_NoSewr     1    0.1997 64.960 -7110.1
+ Exterior1st_PreCast  1    0.1930 64.967 -7109.9
+ X2ndFlrSF            1    0.1478 65.012 -7108.5
+ LowQualFinSF         1    0.1370 65.023 -7108.1
+ OpenPorchSF          1    0.1332 65.027 -7108.0
+ HouseStyle_2         1    0.1302 65.030 -7107.9
+ Exterior1st_AsphShn  1    0.1274 65.032 -7107.8
<none>                             65.160 -7107.7
+ X3SsnPorch           1    0.1166 65.043 -7107.5
+ EnclosedPorch        1    0.0989 65.061 -7106.9
+ MasVnrType_None      1    0.0794 65.080 -7106.3
+ BsmtHalfBath         1    0.0632 65.097 -7105.8
+ Condition1_2         1    0.0558 65.104 -7105.6
+ PoolArea             1    0.0435 65.116 -7105.2
+ Exterior1st_WdShing  1    0.0423 65.118 -7105.1
+ Street_Pave          1    0.0404 65.120 -7105.1
+ Exterior1st_BrkFace  1    0.0384 65.122 -7105.0
+ PoolQC               1    0.0225 65.137 -7104.5
+ Exterior1st_ImStucc  1    0.0155 65.144 -7104.3
+ YrSold               1    0.0139 65.146 -7104.2
+ BsmtFinSF2           1    0.0121 65.148 -7104.2
+ HalfBath             1    0.0097 65.150 -7104.1
+ Exterior1st_CemntBd  1    0.0097 65.150 -7104.1
+ MasVnrType_BrkFace   1    0.0087 65.151 -7104.1
+ Exterior1st_MetalSd  1    0.0041 65.156 -7103.9
+ Exterior1st_BrkComm  1    0.0010 65.159 -7103.8
+ MiscVal              1    0.0008 65.159 -7103.8
+ BldgType_2           1    0.0002 65.160 -7103.8

Step:  AIC=-7400.84
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual

                      Df Sum of Sq    RSS     AIC
+ Fireplaces           1    4.8482 51.570 -7582.2
+ FireplaceQu          1    4.4338 51.984 -7565.7
+ BldgType_3           1    4.2058 52.212 -7556.7
+ KitchenAbvGr         1    4.0712 52.347 -7551.4
+ GarageCars           1    4.0284 52.390 -7549.7
+ BsmtUnfSF            1    4.0150 52.403 -7549.2
+ GarageCond           1    3.9529 52.465 -7546.7
+ BsmtFinSF1           1    3.9385 52.480 -7546.1
+ GarageArea           1    3.9194 52.499 -7545.4
+ CentralAir_Y         1    3.7125 52.706 -7537.3
+ GarageQual           1    3.5256 52.892 -7530.0
+ Neighborhood_Tier_3  1    3.2223 53.196 -7518.2
+ RemodelAge           1    2.5144 53.904 -7490.9
+ MSZoning_2           1    2.4152 54.003 -7487.1
+ BsmtFullBath         1    2.0283 54.390 -7472.4
+ HeatingQC            1    1.9470 54.471 -7469.3
+ GarageType_2         1    1.7862 54.632 -7463.3
+ ExterQual            1    1.7646 54.653 -7462.5
+ BedroomAbvGr         1    1.6988 54.719 -7460.0
+ LotArea              1    1.6863 54.732 -7459.5
+ ExterCond            1    1.4923 54.926 -7452.2
+ LotFrontage          1    1.4726 54.945 -7451.5
+ Functional_2         1    1.4265 54.992 -7449.7
+ BsmtQual             1    1.4007 55.017 -7448.8
+ LotShape_2           1    1.3295 55.088 -7446.1
+ BsmtFinType1_3       1    1.2365 55.182 -7442.6
+ PavedDrive_2         1    1.2076 55.210 -7441.5
+ MSSubClass           1    1.1637 55.254 -7439.9
+ Electrical_2         1    1.1436 55.274 -7439.2
+ WoodDeckSF           1    0.9619 55.456 -7432.4
+ BsmtExposure_3       1    0.9159 55.502 -7430.7
+ GarageFinish_2       1    0.8924 55.526 -7429.8
+ ScreenPorch          1    0.8565 55.562 -7428.5
+ BsmtCond             1    0.8232 55.595 -7427.2
+ HouseStyle_3         1    0.8200 55.598 -7427.1
+ Neighborhood_Tier_2  1    0.7658 55.652 -7425.1
+ TotRmsAbvGrd         1    0.6772 55.741 -7421.8
+ LandSlope_2          1    0.6527 55.765 -7420.9
+ Exterior1st_PreCast  1    0.3789 56.039 -7410.8
+ FullBath             1    0.3308 56.087 -7409.1
+ MasVnrArea           1    0.3243 56.094 -7408.8
+ BsmtExposure_2       1    0.2767 56.141 -7407.1
+ BsmtFinType1_2       1    0.2591 56.159 -7406.4
+ SaleCondition_2      1    0.2506 56.167 -7406.1
+ BsmtHalfBath         1    0.2293 56.189 -7405.3
+ LowQualFinSF         1    0.2176 56.200 -7404.9
+ Utilities_NoSewr     1    0.2072 56.211 -7404.5
+ Exterior1st_Stucco   1    0.1469 56.271 -7402.3
+ X1stFlrSF            1    0.1376 56.280 -7402.0
+ MasVnrType_Stone     1    0.1318 56.286 -7401.8
+ HouseStyle_2         1    0.1306 56.287 -7401.7
+ X3SsnPorch           1    0.1262 56.292 -7401.5
+ Exterior1st_AsphShn  1    0.1232 56.295 -7401.4
+ Exterior1st_Wd.Sdng  1    0.1189 56.299 -7401.3
+ MasVnrType_None      1    0.1113 56.307 -7401.0
<none>                             56.418 -7400.8
+ Foundation_2         1    0.0960 56.322 -7400.4
+ Exterior1st_CemntBd  1    0.0832 56.335 -7400.0
+ X2ndFlrSF            1    0.0829 56.335 -7400.0
+ BldgType_2           1    0.0778 56.340 -7399.8
+ Condition1_2         1    0.0622 56.356 -7399.2
+ BsmtFinSF2           1    0.0497 56.368 -7398.7
+ Exterior1st_BrkFace  1    0.0468 56.371 -7398.6
+ Exterior1st_Plywood  1    0.0459 56.372 -7398.6
+ PoolArea             1    0.0420 56.376 -7398.5
+ EnclosedPorch        1    0.0350 56.383 -7398.2
+ Street_Pave          1    0.0326 56.385 -7398.1
+ Exterior1st_WdShing  1    0.0311 56.387 -7398.1
+ Exterior1st_BrkComm  1    0.0271 56.391 -7397.9
+ MasVnrType_BrkFace   1    0.0165 56.402 -7397.5
+ OpenPorchSF          1    0.0147 56.403 -7397.5
+ PoolQC               1    0.0117 56.406 -7397.4
+ Exterior1st_ImStucc  1    0.0116 56.406 -7397.4
+ Exterior1st_MetalSd  1    0.0100 56.408 -7397.3
+ GarageYrBlt          1    0.0087 56.409 -7397.2
+ YrSold               1    0.0085 56.409 -7397.2
+ Exterior1st_VinylSd  1    0.0077 56.410 -7397.2
+ Exterior1st_HdBoard  1    0.0075 56.411 -7397.2
+ HalfBath             1    0.0030 56.415 -7397.0
+ MiscVal              1    0.0020 56.416 -7397.0

Step:  AIC=-7582.2
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces

                      Df Sum of Sq    RSS     AIC
+ GarageArea           1    3.6535 47.916 -7729.8
+ GarageCars           1    3.3462 48.224 -7716.6
+ CentralAir_Y         1    3.0039 48.566 -7702.0
+ RemodelAge           1    2.9666 48.603 -7700.5
+ BldgType_3           1    2.9437 48.626 -7699.5
+ GarageCond           1    2.8838 48.686 -7696.9
+ KitchenAbvGr         1    2.6391 48.931 -7686.6
+ BsmtFinSF1           1    2.5842 48.986 -7684.3
+ Neighborhood_Tier_3  1    2.5806 48.989 -7684.1
+ BsmtUnfSF            1    2.5558 49.014 -7683.1
+ GarageQual           1    2.5060 49.064 -7681.0
+ HeatingQC            1    2.0527 49.517 -7662.0
+ ExterQual            1    1.8223 49.747 -7652.5
+ MSZoning_2           1    1.7828 49.787 -7650.8
+ Functional_2         1    1.6338 49.936 -7644.7
+ BsmtFullBath         1    1.4668 50.103 -7637.8
+ ExterCond            1    1.3689 50.201 -7633.8
+ BsmtQual             1    1.2623 50.308 -7629.4
+ BsmtFinType1_3       1    1.2011 50.369 -7626.9
+ LotFrontage          1    1.1800 50.390 -7626.0
+ LotArea              1    1.0354 50.534 -7620.1
+ MSSubClass           1    0.9777 50.592 -7617.8
+ Electrical_2         1    0.9638 50.606 -7617.2
+ LotShape_2           1    0.9036 50.666 -7614.7
+ GarageType_2         1    0.8943 50.676 -7614.4
+ PavedDrive_2         1    0.8717 50.698 -7613.4
+ BsmtCond             1    0.8010 50.769 -7610.6
+ BedroomAbvGr         1    0.7614 50.808 -7609.0
+ WoodDeckSF           1    0.5438 51.026 -7600.2
+ BsmtExposure_3       1    0.5123 51.057 -7598.9
+ HouseStyle_3         1    0.4888 51.081 -7597.9
+ GarageFinish_2       1    0.4339 51.136 -7595.7
+ SaleCondition_2      1    0.3486 51.221 -7592.3
+ ScreenPorch          1    0.3422 51.228 -7592.0
+ Neighborhood_Tier_2  1    0.3315 51.238 -7591.6
+ LandSlope_2          1    0.3139 51.256 -7590.9
+ BsmtExposure_2       1    0.3120 51.258 -7590.8
+ TotRmsAbvGrd         1    0.2916 51.278 -7590.0
+ BsmtFinType1_2       1    0.2878 51.282 -7589.8
+ Utilities_NoSewr     1    0.2862 51.284 -7589.8
+ FireplaceQu          1    0.2765 51.293 -7589.4
+ Foundation_2         1    0.2765 51.293 -7589.4
+ Exterior1st_PreCast  1    0.2578 51.312 -7588.6
+ MasVnrArea           1    0.1995 51.370 -7586.3
+ GarageYrBlt          1    0.1938 51.376 -7586.1
+ Exterior1st_Plywood  1    0.1878 51.382 -7585.8
+ LowQualFinSF         1    0.1698 51.400 -7585.1
+ BldgType_2           1    0.1595 51.410 -7584.7
+ PoolArea             1    0.1299 51.440 -7583.5
+ FullBath             1    0.1124 51.457 -7582.8
+ X3SsnPorch           1    0.1111 51.459 -7582.7
+ BsmtHalfBath         1    0.1034 51.466 -7582.4
<none>                             51.570 -7582.2
+ Exterior1st_VinylSd  1    0.0912 51.479 -7581.9
+ Exterior1st_AsphShn  1    0.0904 51.479 -7581.9
+ Exterior1st_Stucco   1    0.0817 51.488 -7581.6
+ MasVnrType_Stone     1    0.0615 51.508 -7580.8
+ Exterior1st_Wd.Sdng  1    0.0612 51.509 -7580.7
+ Exterior1st_CemntBd  1    0.0585 51.511 -7580.6
+ Street_Pave          1    0.0561 51.514 -7580.5
+ Exterior1st_BrkComm  1    0.0392 51.531 -7579.9
+ Condition1_2         1    0.0361 51.534 -7579.7
+ EnclosedPorch        1    0.0340 51.536 -7579.7
+ HouseStyle_2         1    0.0318 51.538 -7579.6
+ MasVnrType_None      1    0.0253 51.544 -7579.3
+ OpenPorchSF          1    0.0169 51.553 -7579.0
+ BsmtFinSF2           1    0.0130 51.557 -7578.8
+ Exterior1st_HdBoard  1    0.0116 51.558 -7578.8
+ Exterior1st_ImStucc  1    0.0087 51.561 -7578.6
+ MiscVal              1    0.0073 51.563 -7578.6
+ X1stFlrSF            1    0.0053 51.565 -7578.5
+ Exterior1st_WdShing  1    0.0039 51.566 -7578.5
+ Exterior1st_BrkFace  1    0.0020 51.568 -7578.4
+ MasVnrType_BrkFace   1    0.0012 51.569 -7578.3
+ Exterior1st_MetalSd  1    0.0012 51.569 -7578.3
+ HalfBath             1    0.0010 51.569 -7578.3
+ YrSold               1    0.0009 51.569 -7578.3
+ PoolQC               1    0.0000 51.570 -7578.3
+ X2ndFlrSF            1    0.0000 51.570 -7578.3

Step:  AIC=-7729.81
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea

                      Df Sum of Sq    RSS     AIC
+ RemodelAge           1   3.06739 44.849 -7862.3
+ CentralAir_Y         1   2.51240 45.404 -7837.0
+ BldgType_3           1   2.48056 45.436 -7835.5
+ KitchenAbvGr         1   2.36035 45.556 -7830.1
+ Neighborhood_Tier_3  1   2.22239 45.694 -7823.8
+ BsmtFinSF1           1   2.15907 45.757 -7821.0
+ BsmtUnfSF            1   2.13738 45.779 -7820.0
+ HeatingQC            1   2.06001 45.856 -7816.5
+ Functional_2         1   1.70297 46.213 -7800.5
+ MSZoning_2           1   1.64879 46.268 -7798.1
+ ExterQual            1   1.49577 46.421 -7791.3
+ BsmtQual             1   1.41998 46.496 -7787.9
+ BsmtFullBath         1   1.23408 46.682 -7779.7
+ ExterCond            1   1.17571 46.741 -7777.1
+ BsmtFinType1_3       1   0.98545 46.931 -7768.7
+ BsmtCond             1   0.93921 46.977 -7766.7
+ GarageType_2         1   0.86472 47.052 -7763.4
+ LotShape_2           1   0.77852 47.138 -7759.7
+ Electrical_2         1   0.77712 47.139 -7759.6
+ LotArea              1   0.75112 47.165 -7758.5
+ PavedDrive_2         1   0.73186 47.184 -7757.6
+ GarageCond           1   0.72021 47.196 -7757.1
+ MSSubClass           1   0.64730 47.269 -7753.9
+ LotFrontage          1   0.56376 47.353 -7750.3
+ GarageQual           1   0.50333 47.413 -7747.7
+ BsmtExposure_2       1   0.48339 47.433 -7746.8
+ BedroomAbvGr         1   0.47836 47.438 -7746.6
+ BsmtFinType1_2       1   0.44807 47.468 -7745.3
+ GarageFinish_2       1   0.43097 47.485 -7744.5
+ Neighborhood_Tier_2  1   0.39275 47.524 -7742.9
+ Exterior1st_PreCast  1   0.38448 47.532 -7742.5
+ WoodDeckSF           1   0.35739 47.559 -7741.3
+ BsmtExposure_3       1   0.33517 47.581 -7740.4
+ LandSlope_2          1   0.32779 47.589 -7740.1
+ HouseStyle_3         1   0.32580 47.591 -7740.0
+ ScreenPorch          1   0.31622 47.600 -7739.6
+ Utilities_NoSewr     1   0.31476 47.602 -7739.5
+ Foundation_2         1   0.29399 47.622 -7738.6
+ FireplaceQu          1   0.23538 47.681 -7736.1
+ SaleCondition_2      1   0.22647 47.690 -7735.7
+ Exterior1st_Plywood  1   0.21417 47.702 -7735.1
+ GarageCars           1   0.20906 47.707 -7734.9
+ TotRmsAbvGrd         1   0.19490 47.721 -7734.3
+ PoolArea             1   0.15602 47.760 -7732.6
+ LowQualFinSF         1   0.12556 47.791 -7731.3
+ Street_Pave          1   0.12516 47.791 -7731.3
+ FullBath             1   0.10530 47.811 -7730.4
<none>                             47.916 -7729.8
+ BsmtHalfBath         1   0.08635 47.830 -7729.6
+ X3SsnPorch           1   0.08631 47.830 -7729.6
+ Exterior1st_Wd.Sdng  1   0.08483 47.831 -7729.6
+ MasVnrArea           1   0.07328 47.843 -7729.1
+ Exterior1st_Stucco   1   0.06897 47.847 -7728.9
+ BldgType_2           1   0.05714 47.859 -7728.4
+ Exterior1st_VinylSd  1   0.05517 47.861 -7728.3
+ X2ndFlrSF            1   0.04210 47.874 -7727.7
+ Exterior1st_AsphShn  1   0.03393 47.882 -7727.4
+ Exterior1st_CemntBd  1   0.03271 47.884 -7727.3
+ Exterior1st_BrkFace  1   0.02845 47.888 -7727.1
+ Exterior1st_BrkComm  1   0.02697 47.889 -7727.1
+ OpenPorchSF          1   0.02606 47.890 -7727.0
+ Condition1_2         1   0.02535 47.891 -7727.0
+ X1stFlrSF            1   0.02115 47.895 -7726.8
+ GarageYrBlt          1   0.01886 47.897 -7726.7
+ EnclosedPorch        1   0.01538 47.901 -7726.6
+ MiscVal              1   0.01478 47.902 -7726.5
+ MasVnrType_Stone     1   0.01405 47.902 -7726.5
+ Exterior1st_HdBoard  1   0.01358 47.903 -7726.5
+ BsmtFinSF2           1   0.01119 47.905 -7726.4
+ Exterior1st_WdShing  1   0.00817 47.908 -7726.2
+ HalfBath             1   0.00645 47.910 -7726.2
+ Exterior1st_ImStucc  1   0.00291 47.913 -7726.0
+ HouseStyle_2         1   0.00228 47.914 -7726.0
+ MasVnrType_BrkFace   1   0.00135 47.915 -7726.0
+ PoolQC               1   0.00134 47.915 -7726.0
+ MasVnrType_None      1   0.00067 47.916 -7725.9
+ YrSold               1   0.00019 47.916 -7725.9
+ Exterior1st_MetalSd  1   0.00005 47.916 -7725.9

Step:  AIC=-7862.31
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge

                      Df Sum of Sq    RSS     AIC
+ BsmtUnfSF            1   2.40000 42.449 -7971.8
+ BsmtFinSF1           1   2.32450 42.524 -7968.1
+ CentralAir_Y         1   2.18888 42.660 -7961.6
+ BldgType_3           1   2.17676 42.672 -7961.0
+ KitchenAbvGr         1   2.00154 42.847 -7952.5
+ MSZoning_2           1   1.88222 42.967 -7946.8
+ Functional_2         1   1.81791 43.031 -7943.7
+ Neighborhood_Tier_3  1   1.50135 43.348 -7928.6
+ BsmtFullBath         1   1.12700 43.722 -7910.9
+ HeatingQC            1   1.08113 43.768 -7908.7
+ PavedDrive_2         1   0.95392 43.895 -7902.7
+ ExterQual            1   0.94695 43.902 -7902.4
+ GarageType_2         1   0.93035 43.919 -7901.6
+ GarageCond           1   0.92118 43.928 -7901.2
+ LotArea              1   0.80473 44.044 -7895.7
+ BsmtQual             1   0.79960 44.049 -7895.5
+ BsmtFinType1_3       1   0.76522 44.084 -7893.9
+ MSSubClass           1   0.71444 44.134 -7891.5
+ LotShape_2           1   0.71099 44.138 -7891.4
+ BsmtCond             1   0.69830 44.151 -7890.8
+ LotFrontage          1   0.69016 44.159 -7890.4
+ GarageQual           1   0.67420 44.175 -7889.6
+ ExterCond            1   0.64921 44.200 -7888.5
+ ScreenPorch          1   0.42456 44.424 -7878.0
+ BsmtExposure_3       1   0.40143 44.447 -7876.9
+ Electrical_2         1   0.34984 44.499 -7874.5
+ GarageFinish_2       1   0.33900 44.510 -7874.0
+ LandSlope_2          1   0.33334 44.516 -7873.8
+ HouseStyle_3         1   0.32497 44.524 -7873.4
+ BedroomAbvGr         1   0.31284 44.536 -7872.8
+ Neighborhood_Tier_2  1   0.29725 44.552 -7872.1
+ FullBath             1   0.29364 44.555 -7871.9
+ BsmtExposure_2       1   0.25952 44.589 -7870.4
+ Utilities_NoSewr     1   0.25617 44.593 -7870.2
+ WoodDeckSF           1   0.24212 44.607 -7869.6
+ Exterior1st_PreCast  1   0.22993 44.619 -7869.0
+ BsmtFinType1_2       1   0.22590 44.623 -7868.8
+ MasVnrArea           1   0.19627 44.653 -7867.4
+ TotRmsAbvGrd         1   0.19002 44.659 -7867.2
+ FireplaceQu          1   0.15772 44.691 -7865.7
+ Exterior1st_BrkFace  1   0.15488 44.694 -7865.5
+ Exterior1st_Plywood  1   0.15212 44.697 -7865.4
+ SaleCondition_2      1   0.14473 44.704 -7865.1
+ LowQualFinSF         1   0.13105 44.718 -7864.4
+ GarageCars           1   0.13019 44.719 -7864.4
+ GarageYrBlt          1   0.11236 44.737 -7863.6
+ Exterior1st_Wd.Sdng  1   0.10407 44.745 -7863.2
+ PoolArea             1   0.09126 44.758 -7862.6
+ BsmtHalfBath         1   0.08678 44.762 -7862.4
+ BldgType_2           1   0.08644 44.762 -7862.4
<none>                             44.849 -7862.3
+ Street_Pave          1   0.08384 44.765 -7862.3
+ Exterior1st_Stucco   1   0.07563 44.773 -7861.9
+ X3SsnPorch           1   0.05447 44.794 -7860.9
+ Foundation_2         1   0.04216 44.807 -7860.3
+ HouseStyle_2         1   0.03676 44.812 -7860.1
+ EnclosedPorch        1   0.03562 44.813 -7860.0
+ Exterior1st_CemntBd  1   0.03540 44.814 -7860.0
+ BsmtFinSF2           1   0.03149 44.817 -7859.8
+ Condition1_2         1   0.03100 44.818 -7859.8
+ Exterior1st_VinylSd  1   0.02945 44.819 -7859.8
+ MasVnrType_None      1   0.02715 44.822 -7859.6
+ Exterior1st_WdShing  1   0.02409 44.825 -7859.5
+ Exterior1st_BrkComm  1   0.01962 44.829 -7859.3
+ Exterior1st_AsphShn  1   0.01440 44.835 -7859.1
+ Exterior1st_MetalSd  1   0.01425 44.835 -7859.1
+ HalfBath             1   0.01414 44.835 -7859.1
+ X2ndFlrSF            1   0.01138 44.838 -7858.9
+ MiscVal              1   0.01137 44.838 -7858.9
+ MasVnrType_BrkFace   1   0.01034 44.839 -7858.9
+ MasVnrType_Stone     1   0.01010 44.839 -7858.9
+ PoolQC               1   0.00257 44.846 -7858.5
+ OpenPorchSF          1   0.00249 44.846 -7858.5
+ Exterior1st_ImStucc  1   0.00239 44.847 -7858.5
+ X1stFlrSF            1   0.00197 44.847 -7858.5
+ Exterior1st_HdBoard  1   0.00022 44.849 -7858.4
+ YrSold               1   0.00017 44.849 -7858.4

Step:  AIC=-7971.81
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF

                      Df Sum of Sq    RSS     AIC
+ BldgType_3           1   2.28325 40.166 -8081.9
+ Functional_2         1   2.07561 40.373 -8071.3
+ CentralAir_Y         1   2.01002 40.439 -8067.9
+ KitchenAbvGr         1   1.74314 40.706 -8054.4
+ MSZoning_2           1   1.67054 40.778 -8050.7
+ Neighborhood_Tier_3  1   1.54450 40.904 -8044.3
+ HeatingQC            1   1.34471 41.104 -8034.3
+ ExterQual            1   1.20147 41.247 -8027.1
+ GarageCond           1   0.85753 41.591 -8010.0
+ MSSubClass           1   0.80542 41.644 -8007.4
+ BsmtQual             1   0.78395 41.665 -8006.3
+ BsmtCond             1   0.74746 41.701 -8004.5
+ PavedDrive_2         1   0.70452 41.744 -8002.4
+ GarageType_2         1   0.69216 41.757 -8001.8
+ LotFrontage          1   0.59274 41.856 -7996.9
+ GarageQual           1   0.58680 41.862 -7996.6
+ LotArea              1   0.58239 41.867 -7996.4
+ LotShape_2           1   0.54338 41.906 -7994.5
+ FireplaceQu          1   0.43012 42.019 -7988.9
+ ExterCond            1   0.42074 42.028 -7988.4
+ BsmtExposure_2       1   0.30945 42.139 -7983.0
+ ScreenPorch          1   0.30824 42.141 -7982.9
+ BsmtFinType1_2       1   0.29554 42.153 -7982.3
+ SaleCondition_2      1   0.28238 42.167 -7981.7
+ Exterior1st_Plywood  1   0.27727 42.172 -7981.4
+ Electrical_2         1   0.24897 42.200 -7980.0
+ GarageCars           1   0.23985 42.209 -7979.6
+ Neighborhood_Tier_2  1   0.22304 42.226 -7978.8
+ GarageFinish_2       1   0.21277 42.236 -7978.3
+ Exterior1st_PreCast  1   0.21035 42.239 -7978.1
+ Utilities_NoSewr     1   0.19887 42.250 -7977.6
+ Foundation_2         1   0.18918 42.260 -7977.1
+ BedroomAbvGr         1   0.15938 42.290 -7975.7
+ Exterior1st_BrkFace  1   0.15133 42.298 -7975.3
+ BsmtFinType1_3       1   0.13156 42.317 -7974.3
+ LandSlope_2          1   0.12401 42.325 -7973.9
+ Exterior1st_Wd.Sdng  1   0.12089 42.328 -7973.8
+ PoolArea             1   0.11752 42.331 -7973.6
+ HouseStyle_3         1   0.11617 42.333 -7973.5
+ Exterior1st_Stucco   1   0.11384 42.335 -7973.4
+ FullBath             1   0.11200 42.337 -7973.3
+ Exterior1st_CemntBd  1   0.10393 42.345 -7972.9
+ MasVnrArea           1   0.10319 42.346 -7972.9
+ BsmtFinSF1           1   0.10180 42.347 -7972.8
+ BsmtFinSF2           1   0.10180 42.347 -7972.8
+ LowQualFinSF         1   0.09714 42.352 -7972.6
+ BsmtExposure_3       1   0.09204 42.357 -7972.4
+ Street_Pave          1   0.08849 42.360 -7972.2
<none>                             42.449 -7971.8
+ BldgType_2           1   0.08033 42.369 -7971.8
+ WoodDeckSF           1   0.07851 42.370 -7971.7
+ GarageYrBlt          1   0.06724 42.382 -7971.2
+ EnclosedPorch        1   0.05209 42.397 -7970.4
+ TotRmsAbvGrd         1   0.04764 42.401 -7970.2
+ X3SsnPorch           1   0.04245 42.406 -7970.0
+ X2ndFlrSF            1   0.03553 42.413 -7969.6
+ Exterior1st_WdShing  1   0.02730 42.422 -7969.2
+ Exterior1st_HdBoard  1   0.02693 42.422 -7969.2
+ BsmtFullBath         1   0.02464 42.424 -7969.1
+ Condition1_2         1   0.02266 42.426 -7969.0
+ X1stFlrSF            1   0.01848 42.430 -7968.8
+ MasVnrType_Stone     1   0.01787 42.431 -7968.8
+ Exterior1st_AsphShn  1   0.01714 42.432 -7968.7
+ BsmtHalfBath         1   0.01466 42.434 -7968.6
+ Exterior1st_BrkComm  1   0.01351 42.435 -7968.6
+ Exterior1st_MetalSd  1   0.01223 42.437 -7968.5
+ HouseStyle_2         1   0.01209 42.437 -7968.5
+ HalfBath             1   0.01067 42.438 -7968.4
+ MasVnrType_None      1   0.00736 42.442 -7968.3
+ Exterior1st_VinylSd  1   0.00680 42.442 -7968.2
+ MiscVal              1   0.00436 42.445 -7968.1
+ OpenPorchSF          1   0.00263 42.446 -7968.0
+ YrSold               1   0.00128 42.448 -7968.0
+ MasVnrType_BrkFace   1   0.00007 42.449 -7967.9
+ PoolQC               1   0.00003 42.449 -7967.9
+ Exterior1st_ImStucc  1   0.00000 42.449 -7967.9

Step:  AIC=-8081.9
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3

                      Df Sum of Sq    RSS     AIC
+ Functional_2         1   2.14745 38.018 -8191.3
+ CentralAir_Y         1   1.50666 38.659 -8156.8
+ Neighborhood_Tier_3  1   1.45044 38.715 -8153.8
+ MSZoning_2           1   1.10100 39.065 -8135.3
+ ExterQual            1   1.07032 39.095 -8133.7
+ HeatingQC            1   0.98334 39.182 -8129.1
+ BsmtQual             1   0.63770 39.528 -8111.0
+ PavedDrive_2         1   0.61312 39.553 -8109.7
+ BsmtCond             1   0.53567 39.630 -8105.7
+ GarageCond           1   0.46344 39.702 -8101.9
+ LotArea              1   0.45008 39.716 -8101.2
+ ExterCond            1   0.33841 39.827 -8095.4
+ GarageQual           1   0.31260 39.853 -8094.1
+ LotShape_2           1   0.31133 39.854 -8094.0
+ KitchenAbvGr         1   0.28864 39.877 -8092.9
+ FireplaceQu          1   0.26965 39.896 -8091.9
+ BsmtFinType1_3       1   0.26580 39.900 -8091.7
+ GarageCars           1   0.25900 39.907 -8091.3
+ SaleCondition_2      1   0.24871 39.917 -8090.8
+ Electrical_2         1   0.24556 39.920 -8090.6
+ ScreenPorch          1   0.24402 39.922 -8090.6
+ GarageType_2         1   0.23859 39.927 -8090.3
+ Utilities_NoSewr     1   0.20623 39.959 -8088.6
+ LotFrontage          1   0.20395 39.962 -8088.5
+ Exterior1st_PreCast  1   0.20218 39.964 -8088.4
+ BsmtExposure_2       1   0.18416 39.982 -8087.5
+ BsmtExposure_3       1   0.18233 39.983 -8087.4
+ Neighborhood_Tier_2  1   0.18059 39.985 -8087.3
+ BsmtFinType1_2       1   0.17054 39.995 -8086.8
+ HouseStyle_3         1   0.16601 40.000 -8086.5
+ MasVnrArea           1   0.16315 40.003 -8086.4
+ BsmtFinSF1           1   0.15316 40.013 -8085.9
+ BsmtFinSF2           1   0.15316 40.013 -8085.9
+ Exterior1st_BrkFace  1   0.14582 40.020 -8085.5
+ Exterior1st_Plywood  1   0.14490 40.021 -8085.4
+ BldgType_2           1   0.13862 40.027 -8085.1
+ PoolArea             1   0.12993 40.036 -8084.7
+ LowQualFinSF         1   0.12298 40.043 -8084.3
+ GarageFinish_2       1   0.11526 40.050 -8083.9
+ Foundation_2         1   0.10570 40.060 -8083.4
+ Exterior1st_Stucco   1   0.10161 40.064 -8083.2
+ LandSlope_2          1   0.08896 40.077 -8082.6
+ Exterior1st_Wd.Sdng  1   0.08720 40.078 -8082.5
+ BsmtFullBath         1   0.08642 40.079 -8082.4
+ BedroomAbvGr         1   0.08411 40.082 -8082.3
<none>                             40.166 -8081.9
+ MasVnrType_Stone     1   0.05507 40.111 -8080.8
+ Street_Pave          1   0.05299 40.113 -8080.7
+ Exterior1st_CemntBd  1   0.04758 40.118 -8080.4
+ X2ndFlrSF            1   0.04526 40.120 -8080.3
+ WoodDeckSF           1   0.04234 40.123 -8080.2
+ EnclosedPorch        1   0.03835 40.127 -8080.0
+ Exterior1st_MetalSd  1   0.03488 40.131 -8079.8
+ X3SsnPorch           1   0.03306 40.133 -8079.7
+ Exterior1st_HdBoard  1   0.03290 40.133 -8079.7
+ MasVnrType_None      1   0.02638 40.139 -8079.3
+ X1stFlrSF            1   0.02361 40.142 -8079.2
+ GarageYrBlt          1   0.01825 40.147 -8078.9
+ Exterior1st_WdShing  1   0.01778 40.148 -8078.9
+ BsmtHalfBath         1   0.00755 40.158 -8078.4
+ FullBath             1   0.00682 40.159 -8078.3
+ MiscVal              1   0.00679 40.159 -8078.3
+ HalfBath             1   0.00569 40.160 -8078.3
+ Exterior1st_BrkComm  1   0.00551 40.160 -8078.3
+ Exterior1st_VinylSd  1   0.00462 40.161 -8078.2
+ Condition1_2         1   0.00441 40.161 -8078.2
+ OpenPorchSF          1   0.00245 40.163 -8078.1
+ YrSold               1   0.00204 40.164 -8078.1
+ MasVnrType_BrkFace   1   0.00081 40.165 -8078.0
+ TotRmsAbvGrd         1   0.00073 40.165 -8078.0
+ PoolQC               1   0.00052 40.165 -8078.0
+ HouseStyle_2         1   0.00040 40.165 -8078.0
+ MSSubClass           1   0.00029 40.165 -8078.0
+ Exterior1st_AsphShn  1   0.00003 40.166 -8078.0
+ Exterior1st_ImStucc  1   0.00000 40.166 -8078.0

Step:  AIC=-8191.29
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2

                      Df Sum of Sq    RSS     AIC
+ Neighborhood_Tier_3  1   1.32694 36.691 -8260.6
+ CentralAir_Y         1   1.21813 36.800 -8254.5
+ MSZoning_2           1   1.18317 36.835 -8252.6
+ ExterQual            1   0.93471 37.084 -8238.7
+ HeatingQC            1   0.87681 37.141 -8235.5
+ LotArea              1   0.56810 37.450 -8218.4
+ PavedDrive_2         1   0.52068 37.498 -8215.8
+ GarageCond           1   0.38728 37.631 -8208.5
+ BsmtExposure_3       1   0.34670 37.672 -8206.3
+ BsmtQual             1   0.33465 37.684 -8205.6
+ KitchenAbvGr         1   0.32063 37.698 -8204.8
+ LotShape_2           1   0.29932 37.719 -8203.7
+ GarageQual           1   0.26310 37.755 -8201.7
+ BsmtFinType1_3       1   0.25680 37.761 -8201.4
+ ScreenPorch          1   0.25241 37.766 -8201.1
+ SaleCondition_2      1   0.24274 37.775 -8200.6
+ BsmtCond             1   0.24213 37.776 -8200.6
+ LotFrontage          1   0.21294 37.805 -8199.0
+ Electrical_2         1   0.21210 37.806 -8198.9
+ FireplaceQu          1   0.20238 37.816 -8198.4
+ GarageCars           1   0.20135 37.817 -8198.3
+ ExterCond            1   0.20043 37.818 -8198.3
+ BedroomAbvGr         1   0.18866 37.830 -8197.6
+ Exterior1st_PreCast  1   0.17880 37.839 -8197.1
+ Exterior1st_BrkFace  1   0.17879 37.839 -8197.1
+ LandSlope_2          1   0.17738 37.841 -8197.0
+ HouseStyle_3         1   0.16106 37.857 -8196.1
+ GarageType_2         1   0.15503 37.863 -8195.8
+ Neighborhood_Tier_2  1   0.13854 37.880 -8194.9
+ Exterior1st_Plywood  1   0.12189 37.896 -8194.0
+ BldgType_2           1   0.11139 37.907 -8193.4
+ MasVnrType_Stone     1   0.11112 37.907 -8193.4
+ BsmtFullBath         1   0.10947 37.909 -8193.3
+ Exterior1st_Wd.Sdng  1   0.10867 37.910 -8193.3
+ BsmtFinSF1           1   0.09029 37.928 -8192.3
+ BsmtFinSF2           1   0.09029 37.928 -8192.3
+ MasVnrArea           1   0.08770 37.931 -8192.1
+ GarageFinish_2       1   0.08736 37.931 -8192.1
+ Exterior1st_Stucco   1   0.08513 37.933 -8192.0
+ Utilities_NoSewr     1   0.08067 37.938 -8191.8
+ WoodDeckSF           1   0.07272 37.946 -8191.3
<none>                             38.018 -8191.3
+ LowQualFinSF         1   0.06296 37.955 -8190.8
+ HouseStyle_2         1   0.06150 37.957 -8190.7
+ Exterior1st_BrkComm  1   0.04656 37.972 -8189.9
+ Exterior1st_CemntBd  1   0.04393 37.974 -8189.8
+ Street_Pave          1   0.04382 37.974 -8189.8
+ X3SsnPorch           1   0.04307 37.975 -8189.7
+ PoolArea             1   0.04200 37.976 -8189.7
+ EnclosedPorch        1   0.04076 37.977 -8189.6
+ Foundation_2         1   0.03830 37.980 -8189.5
+ Exterior1st_HdBoard  1   0.03105 37.987 -8189.1
+ X1stFlrSF            1   0.03074 37.987 -8189.0
+ BsmtExposure_2       1   0.02879 37.989 -8188.9
+ Exterior1st_WdShing  1   0.02844 37.990 -8188.9
+ GarageYrBlt          1   0.02826 37.990 -8188.9
+ Exterior1st_MetalSd  1   0.02758 37.991 -8188.9
+ BsmtFinType1_2       1   0.02157 37.997 -8188.5
+ Exterior1st_VinylSd  1   0.01807 38.000 -8188.4
+ X2ndFlrSF            1   0.01669 38.002 -8188.3
+ FullBath             1   0.01482 38.003 -8188.2
+ MiscVal              1   0.01205 38.006 -8188.0
+ MasVnrType_None      1   0.01073 38.008 -8188.0
+ MasVnrType_BrkFace   1   0.00789 38.010 -8187.8
+ HalfBath             1   0.00719 38.011 -8187.8
+ PoolQC               1   0.00673 38.011 -8187.7
+ TotRmsAbvGrd         1   0.00612 38.012 -8187.7
+ BsmtHalfBath         1   0.00336 38.015 -8187.6
+ Condition1_2         1   0.00175 38.016 -8187.5
+ OpenPorchSF          1   0.00141 38.017 -8187.5
+ YrSold               1   0.00114 38.017 -8187.4
+ Exterior1st_AsphShn  1   0.00072 38.018 -8187.4
+ MSSubClass           1   0.00032 38.018 -8187.4
+ Exterior1st_ImStucc  1   0.00004 38.018 -8187.4

Step:  AIC=-8260.63
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3

                      Df Sum of Sq    RSS     AIC
+ CentralAir_Y         1   1.43872 35.253 -8339.2
+ MSZoning_2           1   0.83608 35.855 -8304.2
+ HeatingQC            1   0.73136 35.960 -8298.2
+ ExterQual            1   0.70598 35.985 -8296.8
+ PavedDrive_2         1   0.66594 36.025 -8294.5
+ GarageCond           1   0.41390 36.277 -8280.1
+ LotArea              1   0.37414 36.317 -8277.9
+ KitchenAbvGr         1   0.35810 36.333 -8276.9
+ BsmtExposure_3       1   0.33989 36.351 -8275.9
+ ScreenPorch          1   0.32774 36.364 -8275.2
+ GarageQual           1   0.28901 36.402 -8273.0
+ Neighborhood_Tier_2  1   0.27991 36.411 -8272.5
+ SaleCondition_2      1   0.25086 36.440 -8270.9
+ ExterCond            1   0.23265 36.459 -8269.8
+ FireplaceQu          1   0.21591 36.475 -8268.9
+ BsmtCond             1   0.21472 36.477 -8268.8
+ Exterior1st_BrkFace  1   0.20787 36.483 -8268.4
+ LotFrontage          1   0.20269 36.489 -8268.1
+ HouseStyle_3         1   0.20049 36.491 -8268.0
+ Exterior1st_PreCast  1   0.20002 36.491 -8268.0
+ Electrical_2         1   0.19738 36.494 -8267.8
+ BsmtQual             1   0.18110 36.510 -8266.9
+ BsmtFinType1_3       1   0.18008 36.511 -8266.9
+ MasVnrArea           1   0.17855 36.513 -8266.8
+ GarageType_2         1   0.17541 36.516 -8266.6
+ MasVnrType_Stone     1   0.15763 36.534 -8265.6
+ LotShape_2           1   0.15345 36.538 -8265.4
+ Exterior1st_Plywood  1   0.14909 36.542 -8265.1
+ BldgType_2           1   0.12663 36.565 -8263.8
+ BedroomAbvGr         1   0.12313 36.568 -8263.7
+ GarageCars           1   0.11897 36.572 -8263.4
+ BsmtFinSF1           1   0.11104 36.580 -8263.0
+ BsmtFinSF2           1   0.11104 36.580 -8263.0
+ Utilities_NoSewr     1   0.10963 36.582 -8262.9
+ Exterior1st_Wd.Sdng  1   0.08984 36.601 -8261.8
+ BsmtFullBath         1   0.08603 36.605 -8261.6
+ HouseStyle_2         1   0.08155 36.610 -8261.3
+ LandSlope_2          1   0.07455 36.617 -8260.9
+ MasVnrType_None      1   0.07371 36.618 -8260.9
+ Exterior1st_MetalSd  1   0.07220 36.619 -8260.8
+ GarageFinish_2       1   0.07110 36.620 -8260.7
<none>                             36.691 -8260.6
+ X1stFlrSF            1   0.06624 36.625 -8260.4
+ LowQualFinSF         1   0.06595 36.625 -8260.4
+ GarageYrBlt          1   0.06563 36.626 -8260.4
+ Exterior1st_Stucco   1   0.05356 36.638 -8259.7
+ PoolArea             1   0.05154 36.640 -8259.6
+ Exterior1st_BrkComm  1   0.05075 36.641 -8259.6
+ Street_Pave          1   0.05066 36.641 -8259.6
+ Exterior1st_VinylSd  1   0.04572 36.646 -8259.3
+ X2ndFlrSF            1   0.04382 36.647 -8259.2
+ X3SsnPorch           1   0.04338 36.648 -8259.2
+ WoodDeckSF           1   0.04234 36.649 -8259.1
+ Exterior1st_WdShing  1   0.04200 36.649 -8259.1
+ Exterior1st_HdBoard  1   0.04111 36.650 -8259.0
+ FullBath             1   0.03774 36.654 -8258.8
+ Condition1_2         1   0.03075 36.661 -8258.4
+ BsmtExposure_2       1   0.02001 36.671 -8257.8
+ EnclosedPorch        1   0.01992 36.671 -8257.8
+ MiscVal              1   0.01864 36.673 -8257.8
+ Exterior1st_CemntBd  1   0.01410 36.677 -8257.5
+ BsmtFinType1_2       1   0.01374 36.678 -8257.5
+ BsmtHalfBath         1   0.00918 36.682 -8257.2
+ YrSold               1   0.00715 36.684 -8257.1
+ MSSubClass           1   0.00585 36.685 -8257.0
+ PoolQC               1   0.00330 36.688 -8256.9
+ HalfBath             1   0.00325 36.688 -8256.9
+ TotRmsAbvGrd         1   0.00247 36.689 -8256.9
+ MasVnrType_BrkFace   1   0.00125 36.690 -8256.8
+ Foundation_2         1   0.00087 36.690 -8256.8
+ Exterior1st_AsphShn  1   0.00050 36.691 -8256.7
+ Exterior1st_ImStucc  1   0.00026 36.691 -8256.7
+ OpenPorchSF          1   0.00001 36.691 -8256.7

Step:  AIC=-8339.2
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y

                      Df Sum of Sq    RSS     AIC
+ ExterQual            1   0.85802 34.395 -8386.1
+ MSZoning_2           1   0.78370 34.469 -8381.6
+ BsmtExposure_3       1   0.51867 34.734 -8365.9
+ HeatingQC            1   0.45137 34.801 -8361.9
+ Neighborhood_Tier_2  1   0.42361 34.829 -8360.2
+ LotArea              1   0.36023 34.892 -8356.5
+ BsmtFinType1_3       1   0.34872 34.904 -8355.8
+ SaleCondition_2      1   0.31593 34.937 -8353.9
+ FireplaceQu          1   0.27817 34.974 -8351.6
+ PavedDrive_2         1   0.27695 34.976 -8351.6
+ ScreenPorch          1   0.27380 34.979 -8351.4
+ LotFrontage          1   0.26801 34.985 -8351.0
+ BedroomAbvGr         1   0.24325 35.009 -8349.6
+ MasVnrArea           1   0.20396 35.049 -8347.3
+ Exterior1st_BrkFace  1   0.20199 35.051 -8347.1
+ Exterior1st_PreCast  1   0.19712 35.055 -8346.9
+ MasVnrType_Stone     1   0.19629 35.056 -8346.8
+ Exterior1st_Plywood  1   0.19371 35.059 -8346.7
+ LotShape_2           1   0.16576 35.087 -8345.0
+ KitchenAbvGr         1   0.15810 35.094 -8344.6
+ HouseStyle_3         1   0.15445 35.098 -8344.3
+ BsmtFinSF1           1   0.15313 35.099 -8344.3
+ BsmtFinSF2           1   0.15313 35.099 -8344.3
+ GarageCond           1   0.13974 35.113 -8343.5
+ GarageCars           1   0.13830 35.114 -8343.4
+ BsmtQual             1   0.12970 35.123 -8342.9
+ GarageType_2         1   0.12538 35.127 -8342.6
+ Exterior1st_BrkComm  1   0.12165 35.131 -8342.4
+ BldgType_2           1   0.11380 35.139 -8342.0
+ BsmtFullBath         1   0.11241 35.140 -8341.9
+ GarageFinish_2       1   0.11220 35.140 -8341.9
+ LowQualFinSF         1   0.10820 35.144 -8341.6
+ ExterCond            1   0.10185 35.151 -8341.3
+ Exterior1st_Wd.Sdng  1   0.09345 35.159 -8340.8
+ X1stFlrSF            1   0.09252 35.160 -8340.7
+ Exterior1st_HdBoard  1   0.08862 35.164 -8340.5
+ Utilities_NoSewr     1   0.08619 35.166 -8340.3
+ MasVnrType_None      1   0.08326 35.169 -8340.2
+ LandSlope_2          1   0.08210 35.170 -8340.1
+ GarageQual           1   0.07441 35.178 -8339.6
<none>                             35.253 -8339.2
+ HouseStyle_2         1   0.06134 35.191 -8338.9
+ X2ndFlrSF            1   0.05898 35.194 -8338.7
+ PoolArea             1   0.05885 35.194 -8338.7
+ Exterior1st_WdShing  1   0.05608 35.196 -8338.6
+ Exterior1st_Stucco   1   0.05051 35.202 -8338.2
+ BsmtCond             1   0.04375 35.209 -8337.9
+ Condition1_2         1   0.04172 35.211 -8337.7
+ X3SsnPorch           1   0.03711 35.215 -8337.5
+ Street_Pave          1   0.03491 35.218 -8337.3
+ EnclosedPorch        1   0.03384 35.219 -8337.3
+ Exterior1st_MetalSd  1   0.03365 35.219 -8337.3
+ WoodDeckSF           1   0.03350 35.219 -8337.3
+ GarageYrBlt          1   0.02944 35.223 -8337.0
+ Electrical_2         1   0.02678 35.226 -8336.9
+ HalfBath             1   0.02273 35.230 -8336.6
+ Foundation_2         1   0.02128 35.231 -8336.5
+ Exterior1st_CemntBd  1   0.01931 35.233 -8336.4
+ MiscVal              1   0.01383 35.239 -8336.1
+ YrSold               1   0.01138 35.241 -8336.0
+ Exterior1st_VinylSd  1   0.00874 35.244 -8335.8
+ OpenPorchSF          1   0.00858 35.244 -8335.8
+ BsmtFinType1_2       1   0.00856 35.244 -8335.8
+ Exterior1st_AsphShn  1   0.00838 35.244 -8335.8
+ FullBath             1   0.00600 35.247 -8335.6
+ MSSubClass           1   0.00498 35.248 -8335.6
+ BsmtExposure_2       1   0.00416 35.248 -8335.5
+ PoolQC               1   0.00258 35.250 -8335.4
+ TotRmsAbvGrd         1   0.00230 35.250 -8335.4
+ BsmtHalfBath         1   0.00181 35.251 -8335.4
+ MasVnrType_BrkFace   1   0.00061 35.252 -8335.3
+ Exterior1st_ImStucc  1   0.00005 35.253 -8335.3

Step:  AIC=-8386.1
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual

                      Df Sum of Sq    RSS     AIC
+ MSZoning_2           1   0.94678 33.448 -8439.7
+ LotArea              1   0.46308 33.931 -8410.1
+ BsmtExposure_3       1   0.41736 33.977 -8407.4
+ LotFrontage          1   0.37046 34.024 -8404.5
+ PavedDrive_2         1   0.35203 34.043 -8403.4
+ ScreenPorch          1   0.30332 34.091 -8400.5
+ HeatingQC            1   0.29594 34.099 -8400.0
+ SaleCondition_2      1   0.24466 34.150 -8396.9
+ HouseStyle_3         1   0.22474 34.170 -8395.7
+ Neighborhood_Tier_2  1   0.22253 34.172 -8395.6
+ BsmtFinType1_3       1   0.20916 34.185 -8394.8
+ BldgType_2           1   0.20357 34.191 -8394.4
+ Exterior1st_BrkFace  1   0.19806 34.196 -8394.1
+ FireplaceQu          1   0.19500 34.200 -8393.9
+ Exterior1st_PreCast  1   0.18418 34.210 -8393.3
+ LotShape_2           1   0.17199 34.223 -8392.5
+ GarageCond           1   0.15892 34.236 -8391.7
+ GarageType_2         1   0.15317 34.241 -8391.4
+ BsmtFinSF1           1   0.13847 34.256 -8390.5
+ BsmtFinSF2           1   0.13847 34.256 -8390.5
+ MasVnrArea           1   0.13453 34.260 -8390.3
+ MasVnrType_Stone     1   0.12845 34.266 -8389.9
+ X1stFlrSF            1   0.12708 34.267 -8389.8
+ GarageCars           1   0.12180 34.273 -8389.5
+ KitchenAbvGr         1   0.11707 34.277 -8389.2
+ BsmtFullBath         1   0.10923 34.285 -8388.7
+ Exterior1st_BrkComm  1   0.10316 34.291 -8388.4
+ LandSlope_2          1   0.10159 34.293 -8388.3
+ BedroomAbvGr         1   0.09825 34.296 -8388.1
+ LowQualFinSF         1   0.09268 34.302 -8387.7
+ Exterior1st_Wd.Sdng  1   0.09076 34.304 -8387.6
+ X2ndFlrSF            1   0.08943 34.305 -8387.6
+ Exterior1st_Plywood  1   0.08821 34.306 -8387.5
+ GarageFinish_2       1   0.08746 34.307 -8387.4
+ GarageQual           1   0.08619 34.308 -8387.4
+ HouseStyle_2         1   0.08350 34.311 -8387.2
+ BsmtQual             1   0.07997 34.315 -8387.0
+ ExterCond            1   0.07754 34.317 -8386.8
+ Utilities_NoSewr     1   0.06818 34.326 -8386.3
<none>                             34.395 -8386.1
+ MasVnrType_None      1   0.05956 34.335 -8385.8
+ GarageYrBlt          1   0.05865 34.336 -8385.7
+ Exterior1st_CemntBd  1   0.05775 34.337 -8385.7
+ Exterior1st_WdShing  1   0.05346 34.341 -8385.4
+ PoolArea             1   0.05283 34.342 -8385.4
+ Condition1_2         1   0.04954 34.345 -8385.2
+ WoodDeckSF           1   0.04848 34.346 -8385.1
+ BsmtCond             1   0.04609 34.348 -8385.0
+ Electrical_2         1   0.03655 34.358 -8384.4
+ Exterior1st_Stucco   1   0.03352 34.361 -8384.2
+ Exterior1st_HdBoard  1   0.03202 34.363 -8384.1
+ Exterior1st_VinylSd  1   0.03170 34.363 -8384.1
+ MSSubClass           1   0.03144 34.363 -8384.1
+ Street_Pave          1   0.02969 34.365 -8384.0
+ EnclosedPorch        1   0.02760 34.367 -8383.8
+ X3SsnPorch           1   0.02539 34.369 -8383.7
+ MiscVal              1   0.01832 34.376 -8383.3
+ YrSold               1   0.01585 34.379 -8383.1
+ Exterior1st_MetalSd  1   0.01550 34.379 -8383.1
+ HalfBath             1   0.01424 34.380 -8383.0
+ Exterior1st_AsphShn  1   0.01420 34.380 -8383.0
+ FullBath             1   0.00861 34.386 -8382.7
+ BsmtHalfBath         1   0.00352 34.391 -8382.4
+ BsmtFinType1_2       1   0.00333 34.391 -8382.4
+ OpenPorchSF          1   0.00201 34.393 -8382.3
+ PoolQC               1   0.00138 34.393 -8382.3
+ MasVnrType_BrkFace   1   0.00121 34.393 -8382.3
+ BsmtExposure_2       1   0.00083 34.394 -8382.2
+ Exterior1st_ImStucc  1   0.00029 34.394 -8382.2
+ TotRmsAbvGrd         1   0.00004 34.395 -8382.2
+ Foundation_2         1   0.00001 34.395 -8382.2

Step:  AIC=-8439.74
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2

                      Df Sum of Sq    RSS     AIC
+ BsmtExposure_3       1   0.45220 32.996 -8463.9
+ HeatingQC            1   0.37575 33.072 -8459.1
+ LotArea              1   0.30653 33.141 -8454.8
+ PavedDrive_2         1   0.28519 33.163 -8453.5
+ SaleCondition_2      1   0.27710 33.171 -8453.0
+ Neighborhood_Tier_2  1   0.27591 33.172 -8452.9
+ BsmtFinType1_3       1   0.26651 33.181 -8452.3
+ ScreenPorch          1   0.25328 33.194 -8451.5
+ BedroomAbvGr         1   0.24829 33.199 -8451.2
+ BsmtQual             1   0.20166 33.246 -8448.3
+ HouseStyle_3         1   0.20115 33.247 -8448.3
+ FireplaceQu          1   0.19646 33.251 -8448.0
+ GarageCars           1   0.17975 33.268 -8446.9
+ MasVnrType_Stone     1   0.17074 33.277 -8446.4
+ Exterior1st_PreCast  1   0.16982 33.278 -8446.3
+ BsmtFinSF1           1   0.16812 33.280 -8446.2
+ BsmtFinSF2           1   0.16812 33.280 -8446.2
+ MasVnrArea           1   0.16444 33.283 -8446.0
+ GarageCond           1   0.16431 33.283 -8446.0
+ Exterior1st_BrkFace  1   0.15080 33.297 -8445.1
+ KitchenAbvGr         1   0.14976 33.298 -8445.1
+ Exterior1st_Plywood  1   0.14310 33.305 -8444.7
+ GarageFinish_2       1   0.13968 33.308 -8444.5
+ LotFrontage          1   0.13893 33.309 -8444.4
+ LandSlope_2          1   0.12573 33.322 -8443.6
+ BsmtFullBath         1   0.10770 33.340 -8442.5
+ LotShape_2           1   0.09789 33.350 -8441.9
+ GarageQual           1   0.08047 33.367 -8440.8
+ Exterior1st_BrkComm  1   0.07817 33.370 -8440.7
+ BsmtCond             1   0.07261 33.375 -8440.3
+ EnclosedPorch        1   0.07222 33.376 -8440.3
+ GarageType_2         1   0.07091 33.377 -8440.2
+ Exterior1st_Wd.Sdng  1   0.06921 33.379 -8440.1
+ LowQualFinSF         1   0.06406 33.384 -8439.8
<none>                             33.448 -8439.7
+ ExterCond            1   0.06049 33.387 -8439.6
+ Exterior1st_HdBoard  1   0.05845 33.389 -8439.4
+ Utilities_NoSewr     1   0.05562 33.392 -8439.3
+ MasVnrType_None      1   0.05498 33.393 -8439.2
+ PoolArea             1   0.05122 33.397 -8439.0
+ X1stFlrSF            1   0.05067 33.397 -8439.0
+ WoodDeckSF           1   0.04778 33.400 -8438.8
+ GarageYrBlt          1   0.04420 33.404 -8438.6
+ HouseStyle_2         1   0.03731 33.410 -8438.1
+ BldgType_2           1   0.03580 33.412 -8438.0
+ Exterior1st_WdShing  1   0.03454 33.413 -8438.0
+ Exterior1st_Stucco   1   0.03448 33.413 -8438.0
+ X2ndFlrSF            1   0.03146 33.416 -8437.8
+ HalfBath             1   0.02500 33.423 -8437.4
+ Condition1_2         1   0.02459 33.423 -8437.3
+ X3SsnPorch           1   0.02431 33.423 -8437.3
+ Electrical_2         1   0.02373 33.424 -8437.3
+ YrSold               1   0.02065 33.427 -8437.1
+ Exterior1st_MetalSd  1   0.02055 33.427 -8437.1
+ Foundation_2         1   0.01847 33.429 -8437.0
+ Street_Pave          1   0.01652 33.431 -8436.8
+ FullBath             1   0.01502 33.433 -8436.8
+ MSSubClass           1   0.01414 33.434 -8436.7
+ Exterior1st_VinylSd  1   0.01280 33.435 -8436.6
+ TotRmsAbvGrd         1   0.01262 33.435 -8436.6
+ Exterior1st_AsphShn  1   0.01202 33.436 -8436.6
+ MiscVal              1   0.01064 33.437 -8436.5
+ BsmtExposure_2       1   0.00434 33.443 -8436.1
+ OpenPorchSF          1   0.00352 33.444 -8436.0
+ Exterior1st_CemntBd  1   0.00321 33.445 -8436.0
+ PoolQC               1   0.00171 33.446 -8435.9
+ BsmtFinType1_2       1   0.00153 33.446 -8435.9
+ BsmtHalfBath         1   0.00090 33.447 -8435.9
+ Exterior1st_ImStucc  1   0.00017 33.448 -8435.8
+ MasVnrType_BrkFace   1   0.00008 33.448 -8435.8

Step:  AIC=-8463.9
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3

                      Df Sum of Sq    RSS     AIC
+ BsmtQual             1   0.46169 32.534 -8489.0
+ HeatingQC            1   0.40242 32.593 -8485.3
+ BsmtCond             1   0.35451 32.641 -8482.3
+ PavedDrive_2         1   0.33600 32.660 -8481.1
+ SaleCondition_2      1   0.29055 32.705 -8478.2
+ Neighborhood_Tier_2  1   0.25520 32.740 -8476.0
+ ScreenPorch          1   0.24239 32.753 -8475.2
+ GarageCond           1   0.23043 32.765 -8474.4
+ BsmtExposure_2       1   0.22562 32.770 -8474.1
+ FireplaceQu          1   0.21799 32.778 -8473.7
+ KitchenAbvGr         1   0.19855 32.797 -8472.4
+ Exterior1st_Plywood  1   0.19681 32.799 -8472.3
+ LotArea              1   0.19234 32.803 -8472.0
+ BsmtFinType1_2       1   0.18879 32.807 -8471.8
+ BedroomAbvGr         1   0.17251 32.823 -8470.8
+ BsmtFinSF1           1   0.16563 32.830 -8470.4
+ BsmtFinSF2           1   0.16563 32.830 -8470.4
+ GarageCars           1   0.16402 32.832 -8470.3
+ MasVnrType_Stone     1   0.15409 32.841 -8469.6
+ MasVnrArea           1   0.14698 32.849 -8469.2
+ HouseStyle_3         1   0.14053 32.855 -8468.8
+ Exterior1st_PreCast  1   0.13351 32.862 -8468.3
+ BsmtFinType1_3       1   0.13144 32.864 -8468.2
+ Exterior1st_BrkFace  1   0.12907 32.867 -8468.1
+ GarageQual           1   0.12500 32.871 -8467.8
+ GarageFinish_2       1   0.10974 32.886 -8466.9
+ BsmtFullBath         1   0.10419 32.891 -8466.5
+ LotFrontage          1   0.08713 32.908 -8465.4
+ Exterior1st_BrkComm  1   0.07961 32.916 -8465.0
+ EnclosedPorch        1   0.07369 32.922 -8464.6
+ GarageType_2         1   0.07027 32.925 -8464.4
+ ExterCond            1   0.06744 32.928 -8464.2
+ Utilities_NoSewr     1   0.06727 32.928 -8464.2
+ LotShape_2           1   0.06700 32.929 -8464.2
+ Exterior1st_Wd.Sdng  1   0.06620 32.929 -8464.1
+ PoolArea             1   0.06320 32.932 -8463.9
<none>                             32.996 -8463.9
+ LowQualFinSF         1   0.06154 32.934 -8463.8
+ Exterior1st_HdBoard  1   0.04908 32.946 -8463.1
+ MasVnrType_None      1   0.04508 32.950 -8462.8
+ LandSlope_2          1   0.04500 32.951 -8462.8
+ BldgType_2           1   0.04441 32.951 -8462.8
+ GarageYrBlt          1   0.04392 32.952 -8462.7
+ Exterior1st_WdShing  1   0.03601 32.960 -8462.2
+ Electrical_2         1   0.03150 32.964 -8462.0
+ Exterior1st_Stucco   1   0.03138 32.964 -8461.9
+ Foundation_2         1   0.02788 32.968 -8461.7
+ Exterior1st_MetalSd  1   0.02718 32.968 -8461.7
+ Street_Pave          1   0.02671 32.969 -8461.7
+ MSSubClass           1   0.02659 32.969 -8461.6
+ Condition1_2         1   0.02548 32.970 -8461.6
+ WoodDeckSF           1   0.02407 32.971 -8461.5
+ X3SsnPorch           1   0.01954 32.976 -8461.2
+ YrSold               1   0.01807 32.978 -8461.1
+ MiscVal              1   0.01234 32.983 -8460.8
+ FullBath             1   0.01050 32.985 -8460.6
+ Exterior1st_AsphShn  1   0.00746 32.988 -8460.5
+ TotRmsAbvGrd         1   0.00704 32.989 -8460.4
+ Exterior1st_VinylSd  1   0.00614 32.989 -8460.4
+ Exterior1st_CemntBd  1   0.00578 32.990 -8460.3
+ OpenPorchSF          1   0.00466 32.991 -8460.3
+ HalfBath             1   0.00223 32.993 -8460.1
+ HouseStyle_2         1   0.00213 32.993 -8460.1
+ X2ndFlrSF            1   0.00163 32.994 -8460.1
+ PoolQC               1   0.00027 32.995 -8460.0
+ BsmtHalfBath         1   0.00010 32.995 -8460.0
+ X1stFlrSF            1   0.00004 32.996 -8460.0
+ MasVnrType_BrkFace   1   0.00003 32.996 -8460.0
+ Exterior1st_ImStucc  1   0.00000 32.996 -8460.0

Step:  AIC=-8489.04
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual

                      Df Sum of Sq    RSS     AIC
+ HeatingQC            1   0.37892 32.155 -8509.3
+ PavedDrive_2         1   0.35284 32.181 -8507.6
+ SaleCondition_2      1   0.28474 32.249 -8503.3
+ GarageCond           1   0.24214 32.292 -8500.5
+ Neighborhood_Tier_2  1   0.23785 32.296 -8500.3
+ ScreenPorch          1   0.23499 32.299 -8500.1
+ FireplaceQu          1   0.19958 32.334 -8497.8
+ LotArea              1   0.19925 32.335 -8497.8
+ Exterior1st_BrkFace  1   0.19790 32.336 -8497.7
+ BsmtFinType1_3       1   0.17259 32.361 -8496.1
+ Exterior1st_Plywood  1   0.16614 32.368 -8495.7
+ MasVnrArea           1   0.16115 32.373 -8495.4
+ GarageQual           1   0.13834 32.396 -8493.9
+ MasVnrType_Stone     1   0.13742 32.396 -8493.9
+ BsmtFinSF1           1   0.13703 32.397 -8493.8
+ BsmtFinSF2           1   0.13703 32.397 -8493.8
+ Exterior1st_PreCast  1   0.13644 32.397 -8493.8
+ BedroomAbvGr         1   0.13000 32.404 -8493.4
+ GarageCars           1   0.12214 32.412 -8492.9
+ KitchenAbvGr         1   0.11438 32.420 -8492.4
+ LotFrontage          1   0.11285 32.421 -8492.3
+ Exterior1st_BrkComm  1   0.09097 32.443 -8490.9
+ ExterCond            1   0.09045 32.443 -8490.9
+ GarageType_2         1   0.08415 32.450 -8490.5
+ GarageYrBlt          1   0.07742 32.456 -8490.0
+ BsmtFullBath         1   0.07486 32.459 -8489.9
+ HouseStyle_3         1   0.07366 32.460 -8489.8
+ X1stFlrSF            1   0.07042 32.463 -8489.6
+ EnclosedPorch        1   0.06807 32.466 -8489.4
+ LowQualFinSF         1   0.06782 32.466 -8489.4
+ BsmtCond             1   0.06630 32.468 -8489.3
+ GarageFinish_2       1   0.06530 32.469 -8489.3
<none>                             32.534 -8489.0
+ MasVnrType_None      1   0.06017 32.474 -8488.9
+ BldgType_2           1   0.05789 32.476 -8488.8
+ PoolArea             1   0.05561 32.478 -8488.7
+ Utilities_NoSewr     1   0.05454 32.479 -8488.6
+ LotShape_2           1   0.05036 32.484 -8488.3
+ Exterior1st_Wd.Sdng  1   0.04930 32.485 -8488.3
+ Exterior1st_HdBoard  1   0.04406 32.490 -8487.9
+ X2ndFlrSF            1   0.04359 32.490 -8487.9
+ HouseStyle_2         1   0.03964 32.494 -8487.6
+ Exterior1st_Stucco   1   0.03731 32.497 -8487.5
+ Electrical_2         1   0.02904 32.505 -8487.0
+ Exterior1st_WdShing  1   0.02863 32.505 -8486.9
+ Street_Pave          1   0.02463 32.509 -8486.7
+ Exterior1st_MetalSd  1   0.02386 32.510 -8486.6
+ LandSlope_2          1   0.02312 32.511 -8486.6
+ HalfBath             1   0.02219 32.512 -8486.5
+ X3SsnPorch           1   0.02174 32.512 -8486.5
+ YrSold               1   0.02108 32.513 -8486.5
+ Condition1_2         1   0.02068 32.513 -8486.4
+ MiscVal              1   0.01445 32.519 -8486.0
+ Exterior1st_CemntBd  1   0.01294 32.521 -8486.0
+ Exterior1st_AsphShn  1   0.01057 32.523 -8485.8
+ Exterior1st_VinylSd  1   0.00948 32.524 -8485.7
+ WoodDeckSF           1   0.00754 32.526 -8485.6
+ FullBath             1   0.00699 32.527 -8485.6
+ Foundation_2         1   0.00647 32.527 -8485.5
+ OpenPorchSF          1   0.00216 32.532 -8485.3
+ MasVnrType_BrkFace   1   0.00186 32.532 -8485.2
+ BsmtFinType1_2       1   0.00161 32.532 -8485.2
+ BsmtExposure_2       1   0.00100 32.533 -8485.2
+ TotRmsAbvGrd         1   0.00083 32.533 -8485.2
+ PoolQC               1   0.00050 32.533 -8485.2
+ Exterior1st_ImStucc  1   0.00028 32.534 -8485.1
+ BsmtHalfBath         1   0.00011 32.534 -8485.1
+ MSSubClass           1   0.00004 32.534 -8485.1

Step:  AIC=-8509.29
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC

                      Df Sum of Sq    RSS     AIC
+ PavedDrive_2         1   0.35034 31.805 -8528.0
+ SaleCondition_2      1   0.28319 31.872 -8523.6
+ GarageCond           1   0.27801 31.877 -8523.3
+ ScreenPorch          1   0.24720 31.908 -8521.3
+ LotArea              1   0.21186 31.943 -8519.0
+ Exterior1st_BrkFace  1   0.21020 31.945 -8518.9
+ FireplaceQu          1   0.20035 31.955 -8518.3
+ Neighborhood_Tier_2  1   0.19530 31.960 -8517.9
+ GarageQual           1   0.17182 31.983 -8516.4
+ MasVnrArea           1   0.16791 31.987 -8516.2
+ BsmtFinType1_3       1   0.14016 32.015 -8514.4
+ MasVnrType_Stone     1   0.12415 32.031 -8513.4
+ BsmtFinSF1           1   0.12402 32.031 -8513.3
+ BsmtFinSF2           1   0.12402 32.031 -8513.3
+ BedroomAbvGr         1   0.12250 32.032 -8513.2
+ KitchenAbvGr         1   0.12054 32.034 -8513.1
+ GarageCars           1   0.12049 32.034 -8513.1
+ Exterior1st_PreCast  1   0.11941 32.036 -8513.0
+ LotFrontage          1   0.11827 32.037 -8513.0
+ GarageType_2         1   0.11250 32.042 -8512.6
+ Exterior1st_BrkComm  1   0.10656 32.048 -8512.2
+ Exterior1st_Plywood  1   0.10548 32.049 -8512.2
+ GarageYrBlt          1   0.10267 32.052 -8512.0
+ HouseStyle_3         1   0.09183 32.063 -8511.3
+ X1stFlrSF            1   0.08644 32.069 -8510.9
+ ExterCond            1   0.07921 32.076 -8510.5
+ BsmtCond             1   0.07016 32.085 -8509.9
+ EnclosedPorch        1   0.06168 32.093 -8509.3
+ LowQualFinSF         1   0.06142 32.094 -8509.3
<none>                             32.155 -8509.3
+ LotShape_2           1   0.06020 32.095 -8509.2
+ MasVnrType_None      1   0.05950 32.095 -8509.2
+ GarageFinish_2       1   0.05949 32.095 -8509.2
+ X2ndFlrSF            1   0.05737 32.098 -8509.1
+ PoolArea             1   0.05523 32.100 -8508.9
+ BsmtFullBath         1   0.05498 32.100 -8508.9
+ Utilities_NoSewr     1   0.05325 32.102 -8508.8
+ Exterior1st_VinylSd  1   0.05193 32.103 -8508.7
+ BldgType_2           1   0.04711 32.108 -8508.4
+ HouseStyle_2         1   0.04280 32.112 -8508.1
+ Exterior1st_Wd.Sdng  1   0.04117 32.114 -8508.0
+ Exterior1st_Stucco   1   0.03711 32.118 -8507.8
+ Electrical_2         1   0.03168 32.123 -8507.4
+ Exterior1st_WdShing  1   0.02834 32.127 -8507.2
+ HalfBath             1   0.02415 32.131 -8506.9
+ Street_Pave          1   0.02389 32.131 -8506.9
+ LandSlope_2          1   0.02381 32.131 -8506.9
+ Condition1_2         1   0.02286 32.132 -8506.8
+ YrSold               1   0.02088 32.134 -8506.7
+ Exterior1st_MetalSd  1   0.01759 32.137 -8506.5
+ X3SsnPorch           1   0.01719 32.138 -8506.5
+ MiscVal              1   0.01493 32.140 -8506.3
+ WoodDeckSF           1   0.01262 32.142 -8506.2
+ Exterior1st_HdBoard  1   0.01150 32.143 -8506.1
+ Exterior1st_CemntBd  1   0.01041 32.145 -8506.0
+ FullBath             1   0.00720 32.148 -8505.8
+ Exterior1st_AsphShn  1   0.00487 32.150 -8505.7
+ Foundation_2         1   0.00305 32.152 -8505.6
+ MasVnrType_BrkFace   1   0.00254 32.152 -8505.5
+ BsmtFinType1_2       1   0.00215 32.153 -8505.5
+ TotRmsAbvGrd         1   0.00088 32.154 -8505.4
+ PoolQC               1   0.00076 32.154 -8505.4
+ BsmtExposure_2       1   0.00075 32.154 -8505.4
+ OpenPorchSF          1   0.00067 32.154 -8505.4
+ Exterior1st_ImStucc  1   0.00008 32.155 -8505.4
+ MSSubClass           1   0.00002 32.155 -8505.4
+ BsmtHalfBath         1   0.00000 32.155 -8505.4

Step:  AIC=-8527.96
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2

                      Df Sum of Sq    RSS     AIC
+ SaleCondition_2      1  0.293608 31.511 -8543.2
+ LotArea              1  0.242980 31.562 -8539.9
+ ScreenPorch          1  0.227503 31.577 -8538.9
+ Neighborhood_Tier_2  1  0.214383 31.590 -8538.0
+ FireplaceQu          1  0.199075 31.606 -8537.0
+ Exterior1st_BrkFace  1  0.191746 31.613 -8536.5
+ GarageCond           1  0.177399 31.627 -8535.6
+ BsmtFinType1_3       1  0.176900 31.628 -8535.6
+ MasVnrArea           1  0.165254 31.639 -8534.8
+ LotFrontage          1  0.139837 31.665 -8533.1
+ BedroomAbvGr         1  0.136693 31.668 -8532.9
+ BsmtFinSF1           1  0.135667 31.669 -8532.9
+ BsmtFinSF2           1  0.135667 31.669 -8532.9
+ MasVnrType_Stone     1  0.131104 31.674 -8532.6
+ GarageCars           1  0.127266 31.677 -8532.3
+ Exterior1st_PreCast  1  0.112947 31.692 -8531.4
+ Exterior1st_Plywood  1  0.105415 31.699 -8530.9
+ GarageQual           1  0.103905 31.701 -8530.8
+ KitchenAbvGr         1  0.101934 31.703 -8530.7
+ GarageType_2         1  0.089494 31.715 -8529.9
+ X1stFlrSF            1  0.088215 31.716 -8529.8
+ Exterior1st_BrkComm  1  0.083769 31.721 -8529.5
+ LowQualFinSF         1  0.083763 31.721 -8529.5
+ HouseStyle_3         1  0.080644 31.724 -8529.3
+ EnclosedPorch        1  0.077314 31.727 -8529.1
+ GarageYrBlt          1  0.072148 31.732 -8528.7
+ BsmtFullBath         1  0.067759 31.737 -8528.5
+ GarageFinish_2       1  0.063707 31.741 -8528.2
<none>                             31.805 -8528.0
+ ExterCond            1  0.056616 31.748 -8527.7
+ X2ndFlrSF            1  0.054858 31.750 -8527.6
+ LotShape_2           1  0.054677 31.750 -8527.6
+ BldgType_2           1  0.053810 31.751 -8527.5
+ MasVnrType_None      1  0.052875 31.752 -8527.5
+ Utilities_NoSewr     1  0.049033 31.756 -8527.2
+ BsmtCond             1  0.045283 31.759 -8527.0
+ Exterior1st_Wd.Sdng  1  0.044021 31.761 -8526.9
+ HouseStyle_2         1  0.042102 31.763 -8526.8
+ Electrical_2         1  0.038054 31.767 -8526.5
+ PoolArea             1  0.037034 31.768 -8526.5
+ Exterior1st_Stucco   1  0.037004 31.768 -8526.5
+ Exterior1st_VinylSd  1  0.034285 31.770 -8526.3
+ Exterior1st_WdShing  1  0.031281 31.773 -8526.1
+ YrSold               1  0.028686 31.776 -8525.9
+ HalfBath             1  0.024155 31.780 -8525.6
+ LandSlope_2          1  0.020411 31.784 -8525.4
+ Condition1_2         1  0.019476 31.785 -8525.3
+ MiscVal              1  0.016785 31.788 -8525.1
+ Exterior1st_HdBoard  1  0.016192 31.788 -8525.1
+ Street_Pave          1  0.016094 31.789 -8525.1
+ X3SsnPorch           1  0.015589 31.789 -8525.1
+ Exterior1st_CemntBd  1  0.014842 31.790 -8525.0
+ Exterior1st_MetalSd  1  0.014453 31.790 -8525.0
+ WoodDeckSF           1  0.013460 31.791 -8524.9
+ BsmtFinType1_2       1  0.012442 31.792 -8524.9
+ Exterior1st_AsphShn  1  0.005244 31.799 -8524.4
+ PoolQC               1  0.003770 31.801 -8524.3
+ OpenPorchSF          1  0.002267 31.802 -8524.2
+ FullBath             1  0.001514 31.803 -8524.2
+ BsmtExposure_2       1  0.001097 31.804 -8524.1
+ Foundation_2         1  0.001077 31.804 -8524.1
+ MasVnrType_BrkFace   1  0.000793 31.804 -8524.1
+ TotRmsAbvGrd         1  0.000743 31.804 -8524.1
+ BsmtHalfBath         1  0.000401 31.804 -8524.1
+ MSSubClass           1  0.000206 31.804 -8524.1
+ Exterior1st_ImStucc  1  0.000157 31.804 -8524.1

Step:  AIC=-8543.18
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2

                      Df Sum of Sq    RSS     AIC
+ LotArea              1  0.237379 31.274 -8554.9
+ ScreenPorch          1  0.228894 31.282 -8554.3
+ GarageCond           1  0.196018 31.315 -8552.1
+ Exterior1st_BrkFace  1  0.194906 31.316 -8552.1
+ BsmtFinType1_3       1  0.186750 31.324 -8551.5
+ Neighborhood_Tier_2  1  0.186178 31.325 -8551.5
+ FireplaceQu          1  0.181194 31.330 -8551.2
+ MasVnrArea           1  0.165390 31.346 -8550.1
+ GarageCars           1  0.140838 31.370 -8548.5
+ LotFrontage          1  0.129757 31.381 -8547.8
+ BsmtFinSF1           1  0.128842 31.382 -8547.7
+ BsmtFinSF2           1  0.128842 31.382 -8547.7
+ BedroomAbvGr         1  0.122889 31.388 -8547.3
+ GarageQual           1  0.118902 31.392 -8547.1
+ Exterior1st_PreCast  1  0.110707 31.400 -8546.5
+ MasVnrType_Stone     1  0.107284 31.404 -8546.3
+ KitchenAbvGr         1  0.106842 31.404 -8546.3
+ Exterior1st_Plywood  1  0.100399 31.411 -8545.8
+ GarageType_2         1  0.095838 31.415 -8545.5
+ LowQualFinSF         1  0.085278 31.426 -8544.9
+ Exterior1st_BrkComm  1  0.084778 31.426 -8544.8
+ HouseStyle_3         1  0.083830 31.427 -8544.8
+ EnclosedPorch        1  0.076550 31.434 -8544.3
+ X1stFlrSF            1  0.075858 31.435 -8544.2
+ GarageYrBlt          1  0.075015 31.436 -8544.2
+ BsmtFullBath         1  0.066797 31.444 -8543.6
+ ExterCond            1  0.064784 31.446 -8543.5
+ LotShape_2           1  0.063394 31.448 -8543.4
<none>                             31.511 -8543.2
+ GarageFinish_2       1  0.056194 31.455 -8542.9
+ BldgType_2           1  0.054524 31.456 -8542.8
+ MasVnrType_None      1  0.053391 31.458 -8542.8
+ Utilities_NoSewr     1  0.049941 31.461 -8542.5
+ BsmtCond             1  0.046538 31.465 -8542.3
+ X2ndFlrSF            1  0.045108 31.466 -8542.2
+ Electrical_2         1  0.042660 31.468 -8542.1
+ Exterior1st_Wd.Sdng  1  0.042141 31.469 -8542.0
+ Exterior1st_Stucco   1  0.036781 31.474 -8541.7
+ HouseStyle_2         1  0.036478 31.474 -8541.7
+ PoolArea             1  0.036207 31.475 -8541.6
+ Exterior1st_VinylSd  1  0.036094 31.475 -8541.6
+ Exterior1st_WdShing  1  0.027949 31.483 -8541.1
+ Exterior1st_CemntBd  1  0.022589 31.488 -8540.7
+ LandSlope_2          1  0.020425 31.491 -8540.6
+ WoodDeckSF           1  0.018195 31.493 -8540.5
+ HalfBath             1  0.017975 31.493 -8540.4
+ MiscVal              1  0.017302 31.494 -8540.4
+ Condition1_2         1  0.016843 31.494 -8540.4
+ Street_Pave          1  0.016379 31.495 -8540.3
+ Exterior1st_MetalSd  1  0.013891 31.497 -8540.2
+ X3SsnPorch           1  0.011803 31.499 -8540.0
+ YrSold               1  0.011451 31.500 -8540.0
+ Exterior1st_HdBoard  1  0.010782 31.500 -8540.0
+ BsmtFinType1_2       1  0.006646 31.504 -8539.7
+ PoolQC               1  0.004595 31.506 -8539.6
+ Exterior1st_AsphShn  1  0.004452 31.507 -8539.6
+ MasVnrType_BrkFace   1  0.002451 31.509 -8539.4
+ FullBath             1  0.001623 31.509 -8539.4
+ TotRmsAbvGrd         1  0.001510 31.509 -8539.4
+ Foundation_2         1  0.001034 31.510 -8539.3
+ OpenPorchSF          1  0.000992 31.510 -8539.3
+ BsmtHalfBath         1  0.000356 31.511 -8539.3
+ Exterior1st_ImStucc  1  0.000319 31.511 -8539.3
+ MSSubClass           1  0.000085 31.511 -8539.3
+ BsmtExposure_2       1  0.000064 31.511 -8539.3

Step:  AIC=-8554.86
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea

                      Df Sum of Sq    RSS     AIC
+ ScreenPorch          1  0.243364 31.030 -8567.1
+ BsmtFinType1_3       1  0.222775 31.051 -8565.7
+ FireplaceQu          1  0.218409 31.055 -8565.4
+ GarageCond           1  0.196458 31.077 -8563.9
+ Neighborhood_Tier_2  1  0.186080 31.088 -8563.3
+ Exterior1st_BrkFace  1  0.174531 31.099 -8562.5
+ MasVnrArea           1  0.171529 31.102 -8562.3
+ GarageCars           1  0.145335 31.128 -8560.5
+ BsmtFinSF1           1  0.139876 31.134 -8560.2
+ BsmtFinSF2           1  0.139876 31.134 -8560.2
+ BedroomAbvGr         1  0.133253 31.140 -8559.7
+ GarageQual           1  0.120733 31.153 -8558.9
+ MasVnrType_Stone     1  0.114600 31.159 -8558.5
+ Exterior1st_PreCast  1  0.109066 31.165 -8558.1
+ Exterior1st_Plywood  1  0.105437 31.168 -8557.9
+ KitchenAbvGr         1  0.098018 31.176 -8557.4
+ HouseStyle_3         1  0.086837 31.187 -8556.7
+ Exterior1st_BrkComm  1  0.084235 31.189 -8556.5
+ LowQualFinSF         1  0.081421 31.192 -8556.3
+ GarageType_2         1  0.079912 31.194 -8556.2
+ EnclosedPorch        1  0.078168 31.195 -8556.1
+ LotFrontage          1  0.076130 31.198 -8556.0
+ ExterCond            1  0.062186 31.211 -8555.0
+ GarageYrBlt          1  0.061916 31.212 -8555.0
+ MasVnrType_None      1  0.061362 31.212 -8555.0
+ Utilities_NoSewr     1  0.061086 31.212 -8555.0
+ X1stFlrSF            1  0.060804 31.213 -8555.0
<none>                             31.274 -8554.9
+ BsmtFullBath         1  0.058664 31.215 -8554.8
+ Street_Pave          1  0.055038 31.219 -8554.6
+ GarageFinish_2       1  0.054305 31.219 -8554.5
+ Exterior1st_Stucco   1  0.043740 31.230 -8553.8
+ Electrical_2         1  0.043029 31.231 -8553.8
+ BsmtCond             1  0.041866 31.232 -8553.7
+ PoolArea             1  0.040503 31.233 -8553.6
+ LotShape_2           1  0.039542 31.234 -8553.6
+ Exterior1st_Wd.Sdng  1  0.038444 31.235 -8553.5
+ Exterior1st_VinylSd  1  0.035791 31.238 -8553.3
+ X2ndFlrSF            1  0.034294 31.239 -8553.2
+ BldgType_2           1  0.029369 31.244 -8552.9
+ HouseStyle_2         1  0.027320 31.246 -8552.7
+ Exterior1st_WdShing  1  0.026903 31.247 -8552.7
+ Exterior1st_CemntBd  1  0.018922 31.255 -8552.2
+ Exterior1st_MetalSd  1  0.018126 31.256 -8552.1
+ Condition1_2         1  0.016426 31.257 -8552.0
+ HalfBath             1  0.016266 31.257 -8552.0
+ WoodDeckSF           1  0.013275 31.260 -8551.8
+ MiscVal              1  0.012374 31.261 -8551.8
+ X3SsnPorch           1  0.011268 31.262 -8551.7
+ Exterior1st_HdBoard  1  0.010823 31.263 -8551.7
+ YrSold               1  0.010248 31.263 -8551.6
+ BsmtFinType1_2       1  0.008331 31.265 -8551.5
+ MasVnrType_BrkFace   1  0.004932 31.269 -8551.3
+ Foundation_2         1  0.004423 31.269 -8551.2
+ Exterior1st_AsphShn  1  0.003697 31.270 -8551.2
+ PoolQC               1  0.003611 31.270 -8551.2
+ LandSlope_2          1  0.002997 31.271 -8551.1
+ TotRmsAbvGrd         1  0.002777 31.271 -8551.1
+ MSSubClass           1  0.001784 31.272 -8551.1
+ FullBath             1  0.001547 31.272 -8551.0
+ OpenPorchSF          1  0.000585 31.273 -8551.0
+ BsmtHalfBath         1  0.000389 31.273 -8551.0
+ BsmtExposure_2       1  0.000362 31.273 -8551.0
+ Exterior1st_ImStucc  1  0.000306 31.273 -8551.0

Step:  AIC=-8567.05
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch

                      Df Sum of Sq    RSS     AIC
+ BsmtFinType1_3       1  0.240410 30.790 -8579.2
+ FireplaceQu          1  0.228766 30.802 -8578.4
+ Neighborhood_Tier_2  1  0.190995 30.839 -8575.9
+ GarageCond           1  0.181723 30.849 -8575.3
+ MasVnrArea           1  0.164721 30.866 -8574.1
+ Exterior1st_BrkFace  1  0.164601 30.866 -8574.1
+ BsmtFinSF1           1  0.145571 30.885 -8572.8
+ BsmtFinSF2           1  0.145571 30.885 -8572.8
+ GarageCars           1  0.144262 30.886 -8572.8
+ BedroomAbvGr         1  0.123848 30.906 -8571.4
+ MasVnrType_Stone     1  0.116667 30.914 -8570.9
+ Exterior1st_PreCast  1  0.114838 30.915 -8570.8
+ EnclosedPorch        1  0.111196 30.919 -8570.5
+ GarageQual           1  0.108742 30.922 -8570.4
+ Exterior1st_Plywood  1  0.102972 30.927 -8570.0
+ HouseStyle_3         1  0.095920 30.934 -8569.5
+ Exterior1st_BrkComm  1  0.088975 30.941 -8569.1
+ KitchenAbvGr         1  0.088957 30.941 -8569.1
+ LowQualFinSF         1  0.086326 30.944 -8568.9
+ LotFrontage          1  0.074143 30.956 -8568.1
+ GarageType_2         1  0.072402 30.958 -8568.0
+ BsmtFullBath         1  0.066306 30.964 -8567.6
+ Street_Pave          1  0.062393 30.968 -8567.3
+ ExterCond            1  0.061610 30.969 -8567.2
+ X1stFlrSF            1  0.059179 30.971 -8567.1
<none>                             31.030 -8567.1
+ Utilities_NoSewr     1  0.058502 30.972 -8567.0
+ GarageYrBlt          1  0.056136 30.974 -8566.9
+ MasVnrType_None      1  0.055248 30.975 -8566.8
+ GarageFinish_2       1  0.054251 30.976 -8566.7
+ PoolArea             1  0.050864 30.979 -8566.5
+ BsmtCond             1  0.049329 30.981 -8566.4
+ Exterior1st_Stucco   1  0.047696 30.983 -8566.3
+ Electrical_2         1  0.045306 30.985 -8566.2
+ LotShape_2           1  0.037092 30.993 -8565.6
+ BldgType_2           1  0.036570 30.994 -8565.6
+ X2ndFlrSF            1  0.032479 30.998 -8565.3
+ WoodDeckSF           1  0.031712 30.999 -8565.3
+ Exterior1st_Wd.Sdng  1  0.028432 31.002 -8565.0
+ Exterior1st_CemntBd  1  0.027242 31.003 -8565.0
+ Exterior1st_WdShing  1  0.026919 31.003 -8564.9
+ HouseStyle_2         1  0.025953 31.004 -8564.9
+ Exterior1st_VinylSd  1  0.024309 31.006 -8564.8
+ Exterior1st_MetalSd  1  0.020242 31.010 -8564.5
+ HalfBath             1  0.019915 31.010 -8564.5
+ X3SsnPorch           1  0.015241 31.015 -8564.2
+ MiscVal              1  0.012530 31.018 -8564.0
+ Condition1_2         1  0.012526 31.018 -8564.0
+ Exterior1st_HdBoard  1  0.012341 31.018 -8564.0
+ YrSold               1  0.008458 31.022 -8563.7
+ Foundation_2         1  0.005308 31.025 -8563.5
+ BsmtFinType1_2       1  0.005151 31.025 -8563.5
+ Exterior1st_AsphShn  1  0.003581 31.027 -8563.4
+ MasVnrType_BrkFace   1  0.003206 31.027 -8563.4
+ TotRmsAbvGrd         1  0.001449 31.029 -8563.2
+ PoolQC               1  0.001326 31.029 -8563.2
+ LandSlope_2          1  0.001325 31.029 -8563.2
+ MSSubClass           1  0.001257 31.029 -8563.2
+ FullBath             1  0.000742 31.029 -8563.2
+ Exterior1st_ImStucc  1  0.000482 31.030 -8563.2
+ BsmtHalfBath         1  0.000397 31.030 -8563.2
+ OpenPorchSF          1  0.000043 31.030 -8563.1
+ BsmtExposure_2       1  0.000003 31.030 -8563.1

Step:  AIC=-8579.18
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3

                      Df Sum of Sq    RSS     AIC
+ FireplaceQu          1  0.217437 30.572 -8589.9
+ GarageCond           1  0.211364 30.578 -8589.5
+ MasVnrArea           1  0.164222 30.626 -8586.3
+ Exterior1st_BrkFace  1  0.162408 30.627 -8586.2
+ Neighborhood_Tier_2  1  0.159889 30.630 -8586.0
+ GarageCars           1  0.150714 30.639 -8585.4
+ GarageQual           1  0.127728 30.662 -8583.8
+ Exterior1st_PreCast  1  0.121548 30.668 -8583.4
+ MasVnrType_Stone     1  0.115565 30.674 -8583.0
+ EnclosedPorch        1  0.111205 30.679 -8582.7
+ BsmtCond             1  0.106342 30.683 -8582.4
+ KitchenAbvGr         1  0.101841 30.688 -8582.1
+ BedroomAbvGr         1  0.095554 30.694 -8581.7
+ LowQualFinSF         1  0.094034 30.696 -8581.6
+ Exterior1st_BrkComm  1  0.089126 30.701 -8581.2
+ Exterior1st_Plywood  1  0.084936 30.705 -8581.0
+ GarageType_2         1  0.080976 30.709 -8580.7
+ ExterCond            1  0.074146 30.716 -8580.2
+ HouseStyle_3         1  0.072647 30.717 -8580.1
+ LotFrontage          1  0.071893 30.718 -8580.1
+ Utilities_NoSewr     1  0.070699 30.719 -8580.0
+ GarageYrBlt          1  0.067677 30.722 -8579.8
+ BsmtFinSF1           1  0.067245 30.723 -8579.8
+ BsmtFinSF2           1  0.067245 30.723 -8579.8
+ Street_Pave          1  0.066582 30.723 -8579.7
+ Electrical_2         1  0.058645 30.731 -8579.2
<none>                             30.790 -8579.2
+ GarageFinish_2       1  0.055793 30.734 -8579.0
+ MasVnrType_None      1  0.053478 30.736 -8578.9
+ BldgType_2           1  0.051398 30.738 -8578.7
+ Exterior1st_Stucco   1  0.046319 30.744 -8578.4
+ WoodDeckSF           1  0.043059 30.747 -8578.2
+ PoolArea             1  0.042931 30.747 -8578.1
+ LotShape_2           1  0.041974 30.748 -8578.1
+ X1stFlrSF            1  0.038520 30.751 -8577.8
+ Exterior1st_VinylSd  1  0.031733 30.758 -8577.4
+ Exterior1st_CemntBd  1  0.031077 30.759 -8577.3
+ Exterior1st_Wd.Sdng  1  0.027669 30.762 -8577.1
+ Exterior1st_WdShing  1  0.027419 30.762 -8577.1
+ BsmtFullBath         1  0.025857 30.764 -8577.0
+ BsmtExposure_2       1  0.018742 30.771 -8576.5
+ X2ndFlrSF            1  0.017189 30.773 -8576.4
+ X3SsnPorch           1  0.016702 30.773 -8576.4
+ Exterior1st_MetalSd  1  0.016085 30.774 -8576.3
+ Condition1_2         1  0.015886 30.774 -8576.3
+ YrSold               1  0.013818 30.776 -8576.2
+ HouseStyle_2         1  0.013369 30.776 -8576.2
+ MiscVal              1  0.011291 30.779 -8576.0
+ Exterior1st_HdBoard  1  0.006942 30.783 -8575.7
+ BsmtFinType1_2       1  0.006641 30.783 -8575.7
+ HalfBath             1  0.005340 30.785 -8575.6
+ FullBath             1  0.004757 30.785 -8575.6
+ LandSlope_2          1  0.003933 30.786 -8575.5
+ PoolQC               1  0.003263 30.787 -8575.5
+ Exterior1st_AsphShn  1  0.003140 30.787 -8575.5
+ MasVnrType_BrkFace   1  0.002820 30.787 -8575.5
+ TotRmsAbvGrd         1  0.000315 30.790 -8575.3
+ Exterior1st_ImStucc  1  0.000214 30.790 -8575.3
+ MSSubClass           1  0.000081 30.790 -8575.3
+ Foundation_2         1  0.000027 30.790 -8575.3
+ BsmtHalfBath         1  0.000025 30.790 -8575.3
+ OpenPorchSF          1  0.000019 30.790 -8575.3

Step:  AIC=-8589.88
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu

                      Df Sum of Sq    RSS     AIC
+ GarageCond           1  0.202930 30.369 -8599.7
+ Exterior1st_BrkFace  1  0.158304 30.414 -8596.7
+ MasVnrArea           1  0.147036 30.425 -8595.9
+ Neighborhood_Tier_2  1  0.141035 30.431 -8595.5
+ GarageCars           1  0.135277 30.437 -8595.1
+ BsmtCond             1  0.127113 30.445 -8594.6
+ Exterior1st_PreCast  1  0.126059 30.446 -8594.5
+ GarageQual           1  0.123231 30.449 -8594.3
+ EnclosedPorch        1  0.122499 30.450 -8594.2
+ LowQualFinSF         1  0.102932 30.470 -8592.9
+ MasVnrType_Stone     1  0.100328 30.472 -8592.7
+ KitchenAbvGr         1  0.087780 30.485 -8591.9
+ Exterior1st_BrkComm  1  0.085459 30.487 -8591.7
+ ExterCond            1  0.084137 30.488 -8591.7
+ HouseStyle_3         1  0.083912 30.488 -8591.6
+ BedroomAbvGr         1  0.083607 30.489 -8591.6
+ Exterior1st_Plywood  1  0.069966 30.503 -8590.7
+ Utilities_NoSewr     1  0.068909 30.503 -8590.6
+ GarageType_2         1  0.068184 30.504 -8590.6
+ Street_Pave          1  0.065413 30.507 -8590.4
+ LotFrontage          1  0.065133 30.507 -8590.4
+ Electrical_2         1  0.063189 30.509 -8590.2
+ BsmtFinSF1           1  0.062871 30.509 -8590.2
+ BsmtFinSF2           1  0.062871 30.509 -8590.2
+ GarageYrBlt          1  0.062728 30.510 -8590.2
+ BldgType_2           1  0.059938 30.512 -8590.0
<none>                             30.572 -8589.9
+ MasVnrType_None      1  0.043845 30.529 -8588.9
+ WoodDeckSF           1  0.038806 30.534 -8588.6
+ Exterior1st_Stucco   1  0.038665 30.534 -8588.6
+ Exterior1st_CemntBd  1  0.037967 30.535 -8588.5
+ GarageFinish_2       1  0.037797 30.535 -8588.5
+ LotShape_2           1  0.037048 30.535 -8588.5
+ X1stFlrSF            1  0.033256 30.539 -8588.2
+ BsmtExposure_2       1  0.030248 30.542 -8588.0
+ BsmtFullBath         1  0.030107 30.542 -8588.0
+ Exterior1st_VinylSd  1  0.029716 30.543 -8588.0
+ Exterior1st_WdShing  1  0.022490 30.550 -8587.5
+ PoolArea             1  0.019798 30.553 -8587.3
+ Exterior1st_Wd.Sdng  1  0.019390 30.553 -8587.3
+ Exterior1st_MetalSd  1  0.016366 30.556 -8587.1
+ Condition1_2         1  0.016073 30.556 -8587.1
+ X3SsnPorch           1  0.015343 30.557 -8587.0
+ BsmtFinType1_2       1  0.013887 30.558 -8586.9
+ X2ndFlrSF            1  0.013122 30.559 -8586.9
+ MiscVal              1  0.012589 30.560 -8586.8
+ YrSold               1  0.011293 30.561 -8586.7
+ PoolQC               1  0.010927 30.561 -8586.7
+ HouseStyle_2         1  0.008416 30.564 -8586.5
+ FullBath             1  0.004932 30.567 -8586.3
+ LandSlope_2          1  0.004440 30.568 -8586.3
+ Exterior1st_HdBoard  1  0.003888 30.569 -8586.2
+ Exterior1st_AsphShn  1  0.002950 30.570 -8586.2
+ HalfBath             1  0.002462 30.570 -8586.1
+ TotRmsAbvGrd         1  0.002357 30.570 -8586.1
+ MasVnrType_BrkFace   1  0.002073 30.570 -8586.1
+ Exterior1st_ImStucc  1  0.000566 30.572 -8586.0
+ OpenPorchSF          1  0.000558 30.572 -8586.0
+ Foundation_2         1  0.000190 30.572 -8586.0
+ BsmtHalfBath         1  0.000176 30.572 -8586.0
+ MSSubClass           1  0.000006 30.572 -8586.0

Step:  AIC=-8599.7
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond

                      Df Sum of Sq    RSS     AIC
+ MasVnrArea           1  0.162252 30.207 -8606.8
+ Exterior1st_PreCast  1  0.152083 30.217 -8606.1
+ Neighborhood_Tier_2  1  0.151481 30.218 -8606.1
+ Exterior1st_BrkFace  1  0.149989 30.220 -8606.0
+ EnclosedPorch        1  0.131086 30.238 -8604.7
+ BsmtCond             1  0.110413 30.259 -8603.3
+ MasVnrType_Stone     1  0.106383 30.263 -8603.0
+ LowQualFinSF         1  0.099529 30.270 -8602.6
+ HouseStyle_3         1  0.098625 30.271 -8602.5
+ LotFrontage          1  0.088534 30.281 -8601.8
+ Exterior1st_BrkComm  1  0.081893 30.288 -8601.4
+ Exterior1st_Plywood  1  0.077141 30.292 -8601.0
+ Utilities_NoSewr     1  0.076476 30.293 -8601.0
+ BedroomAbvGr         1  0.075990 30.294 -8601.0
+ ExterCond            1  0.073009 30.297 -8600.8
+ GarageCars           1  0.071870 30.298 -8600.7
+ BldgType_2           1  0.068610 30.301 -8600.5
+ KitchenAbvGr         1  0.067427 30.302 -8600.4
+ Electrical_2         1  0.064748 30.305 -8600.2
+ BsmtFinSF1           1  0.064330 30.305 -8600.2
+ BsmtFinSF2           1  0.064330 30.305 -8600.2
<none>                             30.369 -8599.7
+ Street_Pave          1  0.050092 30.319 -8599.2
+ MasVnrType_None      1  0.043979 30.326 -8598.8
+ Exterior1st_Stucco   1  0.037731 30.332 -8598.4
+ X1stFlrSF            1  0.037697 30.332 -8598.4
+ WoodDeckSF           1  0.035883 30.334 -8598.2
+ LotShape_2           1  0.034636 30.335 -8598.1
+ BsmtFullBath         1  0.031702 30.338 -8597.9
+ GarageFinish_2       1  0.031101 30.338 -8597.9
+ GarageType_2         1  0.028392 30.341 -8597.7
+ Exterior1st_CemntBd  1  0.026659 30.343 -8597.6
+ BsmtExposure_2       1  0.023133 30.346 -8597.4
+ Exterior1st_WdShing  1  0.020573 30.349 -8597.2
+ GarageQual           1  0.020432 30.349 -8597.2
+ PoolArea             1  0.019935 30.350 -8597.1
+ Exterior1st_VinylSd  1  0.019195 30.350 -8597.1
+ Exterior1st_Wd.Sdng  1  0.016976 30.352 -8596.9
+ X3SsnPorch           1  0.016308 30.353 -8596.9
+ X2ndFlrSF            1  0.016192 30.353 -8596.9
+ Condition1_2         1  0.014578 30.355 -8596.8
+ MiscVal              1  0.011797 30.358 -8596.6
+ Exterior1st_MetalSd  1  0.011232 30.358 -8596.6
+ YrSold               1  0.010455 30.359 -8596.5
+ GarageYrBlt          1  0.010255 30.359 -8596.5
+ PoolQC               1  0.009878 30.360 -8596.5
+ HouseStyle_2         1  0.009658 30.360 -8596.4
+ BsmtFinType1_2       1  0.009159 30.360 -8596.4
+ Exterior1st_AsphShn  1  0.007561 30.362 -8596.3
+ Exterior1st_HdBoard  1  0.006487 30.363 -8596.2
+ LandSlope_2          1  0.004406 30.365 -8596.1
+ FullBath             1  0.003741 30.366 -8596.0
+ HalfBath             1  0.002115 30.367 -8595.9
+ TotRmsAbvGrd         1  0.001946 30.367 -8595.9
+ MasVnrType_BrkFace   1  0.001690 30.368 -8595.9
+ OpenPorchSF          1  0.001650 30.368 -8595.9
+ Exterior1st_ImStucc  1  0.000886 30.369 -8595.8
+ MSSubClass           1  0.000477 30.369 -8595.8
+ Foundation_2         1  0.000375 30.369 -8595.8
+ BsmtHalfBath         1  0.000160 30.369 -8595.8

Step:  AIC=-8606.84
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea

                      Df Sum of Sq    RSS     AIC
+ Exterior1st_BrkFace  1  0.204357 30.003 -8616.9
+ Exterior1st_PreCast  1  0.156623 30.051 -8613.6
+ EnclosedPorch        1  0.147288 30.060 -8613.0
+ Neighborhood_Tier_2  1  0.146635 30.061 -8613.0
+ BsmtCond             1  0.116628 30.091 -8610.9
+ HouseStyle_3         1  0.092565 30.115 -8609.3
+ LowQualFinSF         1  0.088618 30.119 -8609.0
+ MasVnrType_Stone     1  0.086704 30.120 -8608.9
+ Exterior1st_BrkComm  1  0.086622 30.121 -8608.8
+ LotFrontage          1  0.079309 30.128 -8608.3
+ Utilities_NoSewr     1  0.078661 30.129 -8608.3
+ Exterior1st_Plywood  1  0.073277 30.134 -8607.9
+ BedroomAbvGr         1  0.070270 30.137 -8607.7
+ BldgType_2           1  0.069896 30.137 -8607.7
+ ExterCond            1  0.068246 30.139 -8607.6
+ GarageCars           1  0.066853 30.140 -8607.5
+ Electrical_2         1  0.063754 30.143 -8607.3
<none>                             30.207 -8606.8
+ BsmtFinSF1           1  0.054580 30.153 -8606.7
+ BsmtFinSF2           1  0.054580 30.153 -8606.7
+ KitchenAbvGr         1  0.050960 30.156 -8606.4
+ MasVnrType_BrkFace   1  0.050188 30.157 -8606.4
+ Street_Pave          1  0.049324 30.158 -8606.3
+ BsmtFullBath         1  0.038964 30.168 -8605.6
+ WoodDeckSF           1  0.038232 30.169 -8605.5
+ LotShape_2           1  0.037799 30.169 -8605.5
+ Exterior1st_Stucco   1  0.033015 30.174 -8605.2
+ X1stFlrSF            1  0.033012 30.174 -8605.2
+ GarageType_2         1  0.032192 30.175 -8605.1
+ GarageFinish_2       1  0.030775 30.177 -8605.0
+ BsmtExposure_2       1  0.022317 30.185 -8604.4
+ Exterior1st_WdShing  1  0.022102 30.185 -8604.4
+ GarageQual           1  0.019528 30.188 -8604.3
+ Exterior1st_CemntBd  1  0.019473 30.188 -8604.3
+ Exterior1st_Wd.Sdng  1  0.018732 30.189 -8604.2
+ Condition1_2         1  0.018571 30.189 -8604.2
+ X3SsnPorch           1  0.018184 30.189 -8604.2
+ Exterior1st_HdBoard  1  0.017816 30.189 -8604.1
+ PoolArea             1  0.017533 30.190 -8604.1
+ Exterior1st_VinylSd  1  0.015848 30.191 -8604.0
+ X2ndFlrSF            1  0.014062 30.193 -8603.9
+ MiscVal              1  0.012890 30.194 -8603.8
+ HouseStyle_2         1  0.011941 30.195 -8603.7
+ PoolQC               1  0.010411 30.197 -8603.6
+ YrSold               1  0.008696 30.198 -8603.5
+ BsmtFinType1_2       1  0.008520 30.199 -8603.5
+ Exterior1st_AsphShn  1  0.008237 30.199 -8603.5
+ Exterior1st_MetalSd  1  0.008072 30.199 -8603.5
+ GarageYrBlt          1  0.006855 30.200 -8603.4
+ LandSlope_2          1  0.004147 30.203 -8603.2
+ HalfBath             1  0.004115 30.203 -8603.2
+ OpenPorchSF          1  0.003354 30.204 -8603.2
+ MasVnrType_None      1  0.003147 30.204 -8603.1
+ Foundation_2         1  0.002578 30.205 -8603.1
+ Exterior1st_ImStucc  1  0.001783 30.206 -8603.0
+ TotRmsAbvGrd         1  0.001235 30.206 -8603.0
+ FullBath             1  0.001154 30.206 -8603.0
+ MSSubClass           1  0.000725 30.206 -8603.0
+ BsmtHalfBath         1  0.000048 30.207 -8602.9

Step:  AIC=-8616.92
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace

                      Df Sum of Sq    RSS     AIC
+ Exterior1st_PreCast  1  0.161542 29.841 -8624.1
+ EnclosedPorch        1  0.142395 29.860 -8622.8
+ Neighborhood_Tier_2  1  0.141322 29.862 -8622.7
+ BsmtCond             1  0.131533 29.871 -8622.1
+ Utilities_NoSewr     1  0.098076 29.905 -8619.8
+ MasVnrType_Stone     1  0.095644 29.907 -8619.6
+ Exterior1st_BrkComm  1  0.093061 29.910 -8619.4
+ HouseStyle_3         1  0.089386 29.913 -8619.2
+ BldgType_2           1  0.084867 29.918 -8618.8
+ LotFrontage          1  0.083910 29.919 -8618.8
+ LowQualFinSF         1  0.078811 29.924 -8618.4
+ Electrical_2         1  0.074331 29.929 -8618.1
+ ExterCond            1  0.072782 29.930 -8618.0
+ GarageCars           1  0.068701 29.934 -8617.7
+ BsmtFinSF1           1  0.068178 29.935 -8617.7
+ BsmtFinSF2           1  0.068178 29.935 -8617.7
+ BedroomAbvGr         1  0.061377 29.942 -8617.2
<none>                             30.003 -8616.9
+ Exterior1st_Plywood  1  0.051846 29.951 -8616.6
+ WoodDeckSF           1  0.050149 29.953 -8616.5
+ KitchenAbvGr         1  0.049061 29.954 -8616.4
+ BsmtFullBath         1  0.047241 29.956 -8616.3
+ Street_Pave          1  0.044258 29.959 -8616.1
+ LotShape_2           1  0.041627 29.961 -8615.9
+ Exterior1st_Wd.Sdng  1  0.040151 29.963 -8615.8
+ Exterior1st_Stucco   1  0.038883 29.964 -8615.7
+ MasVnrType_BrkFace   1  0.034083 29.969 -8615.4
+ BsmtExposure_2       1  0.031678 29.971 -8615.2
+ GarageType_2         1  0.030335 29.973 -8615.1
+ Exterior1st_WdShing  1  0.027985 29.975 -8614.9
+ GarageFinish_2       1  0.024325 29.979 -8614.7
+ X1stFlrSF            1  0.023701 29.979 -8614.6
+ GarageQual           1  0.020376 29.983 -8614.4
+ Exterior1st_MetalSd  1  0.017714 29.985 -8614.2
+ Exterior1st_CemntBd  1  0.015874 29.987 -8614.1
+ BsmtFinType1_2       1  0.015081 29.988 -8614.0
+ MiscVal              1  0.014952 29.988 -8614.0
+ Condition1_2         1  0.014907 29.988 -8614.0
+ PoolArea             1  0.014033 29.989 -8614.0
+ X3SsnPorch           1  0.013882 29.989 -8614.0
+ PoolQC               1  0.012918 29.990 -8613.9
+ Exterior1st_HdBoard  1  0.009864 29.993 -8613.7
+ Exterior1st_VinylSd  1  0.009752 29.993 -8613.7
+ Exterior1st_AsphShn  1  0.009334 29.994 -8613.6
+ X2ndFlrSF            1  0.008944 29.994 -8613.6
+ HouseStyle_2         1  0.008923 29.994 -8613.6
+ HalfBath             1  0.008230 29.995 -8613.6
+ YrSold               1  0.006761 29.996 -8613.5
+ OpenPorchSF          1  0.005393 29.997 -8613.4
+ GarageYrBlt          1  0.005251 29.998 -8613.4
+ LandSlope_2          1  0.004382 29.998 -8613.3
+ Foundation_2         1  0.002543 30.000 -8613.2
+ Exterior1st_ImStucc  1  0.002156 30.001 -8613.2
+ MSSubClass           1  0.001306 30.002 -8613.1
+ FullBath             1  0.000709 30.002 -8613.1
+ TotRmsAbvGrd         1  0.000094 30.003 -8613.0
+ BsmtHalfBath         1  0.000049 30.003 -8613.0
+ MasVnrType_None      1  0.000002 30.003 -8613.0

Step:  AIC=-8624.14
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast

                      Df Sum of Sq    RSS     AIC
+ EnclosedPorch        1  0.146651 29.695 -8630.4
+ Neighborhood_Tier_2  1  0.138059 29.703 -8629.8
+ BsmtCond             1  0.127571 29.714 -8629.1
+ Utilities_NoSewr     1  0.099650 29.742 -8627.1
+ MasVnrType_Stone     1  0.096957 29.744 -8626.9
+ Exterior1st_BrkComm  1  0.093717 29.748 -8626.7
+ HouseStyle_3         1  0.093579 29.748 -8626.7
+ BldgType_2           1  0.086089 29.755 -8626.2
+ LotFrontage          1  0.082489 29.759 -8625.9
+ LowQualFinSF         1  0.078427 29.763 -8625.7
+ ExterCond            1  0.076723 29.765 -8625.5
+ Electrical_2         1  0.073620 29.768 -8625.3
+ GarageCars           1  0.070778 29.771 -8625.1
+ BsmtFinSF1           1  0.063332 29.778 -8624.6
+ BsmtFinSF2           1  0.063332 29.778 -8624.6
<none>                             29.841 -8624.1
+ WoodDeckSF           1  0.055394 29.786 -8624.1
+ BedroomAbvGr         1  0.054160 29.787 -8624.0
+ Exterior1st_Plywood  1  0.048619 29.793 -8623.6
+ KitchenAbvGr         1  0.046107 29.795 -8623.4
+ LotShape_2           1  0.045997 29.795 -8623.4
+ BsmtFullBath         1  0.044922 29.796 -8623.3
+ Exterior1st_Wd.Sdng  1  0.043872 29.797 -8623.3
+ Street_Pave          1  0.043503 29.798 -8623.2
+ Exterior1st_Stucco   1  0.039198 29.802 -8622.9
+ GarageType_2         1  0.034506 29.807 -8622.6
+ MasVnrType_BrkFace   1  0.032602 29.809 -8622.5
+ BsmtExposure_2       1  0.029827 29.811 -8622.3
+ Exterior1st_WdShing  1  0.028374 29.813 -8622.2
+ GarageFinish_2       1  0.025855 29.816 -8622.0
+ X1stFlrSF            1  0.025814 29.816 -8622.0
+ GarageQual           1  0.019065 29.822 -8621.5
+ Exterior1st_MetalSd  1  0.017944 29.823 -8621.5
+ Condition1_2         1  0.015640 29.826 -8621.3
+ MiscVal              1  0.015485 29.826 -8621.3
+ Exterior1st_CemntBd  1  0.015093 29.826 -8621.3
+ X3SsnPorch           1  0.014925 29.826 -8621.3
+ BsmtFinType1_2       1  0.014025 29.827 -8621.2
+ PoolArea             1  0.013981 29.827 -8621.2
+ PoolQC               1  0.012792 29.828 -8621.1
+ HouseStyle_2         1  0.010301 29.831 -8620.9
+ X2ndFlrSF            1  0.010266 29.831 -8620.9
+ Exterior1st_AsphShn  1  0.010005 29.831 -8620.9
+ Exterior1st_HdBoard  1  0.009754 29.832 -8620.9
+ Exterior1st_VinylSd  1  0.008576 29.833 -8620.8
+ HalfBath             1  0.008528 29.833 -8620.8
+ YrSold               1  0.007295 29.834 -8620.7
+ GarageYrBlt          1  0.006393 29.835 -8620.7
+ LandSlope_2          1  0.006145 29.835 -8620.7
+ OpenPorchSF          1  0.005869 29.835 -8620.6
+ Exterior1st_ImStucc  1  0.002200 29.839 -8620.4
+ MSSubClass           1  0.001587 29.840 -8620.3
+ Foundation_2         1  0.000592 29.841 -8620.3
+ FullBath             1  0.000321 29.841 -8620.3
+ BsmtHalfBath         1  0.000236 29.841 -8620.2
+ MasVnrType_None      1  0.000071 29.841 -8620.2
+ TotRmsAbvGrd         1  0.000042 29.841 -8620.2

Step:  AIC=-8630.39
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch

                      Df Sum of Sq    RSS     AIC
+ Neighborhood_Tier_2  1  0.142430 29.552 -8636.4
+ BsmtCond             1  0.120643 29.574 -8634.9
+ Utilities_NoSewr     1  0.100179 29.595 -8633.4
+ MasVnrType_Stone     1  0.099089 29.596 -8633.4
+ HouseStyle_3         1  0.092865 29.602 -8632.9
+ BldgType_2           1  0.081091 29.614 -8632.1
+ LotFrontage          1  0.079458 29.615 -8632.0
+ Exterior1st_BrkComm  1  0.079288 29.615 -8632.0
+ Electrical_2         1  0.076705 29.618 -8631.8
+ GarageCars           1  0.073767 29.621 -8631.6
+ ExterCond            1  0.069193 29.625 -8631.3
+ WoodDeckSF           1  0.067388 29.627 -8631.2
+ LowQualFinSF         1  0.066388 29.628 -8631.1
+ BsmtFinSF1           1  0.062975 29.632 -8630.9
+ BsmtFinSF2           1  0.062975 29.632 -8630.9
+ BedroomAbvGr         1  0.059474 29.635 -8630.6
<none>                             29.695 -8630.4
+ Exterior1st_Wd.Sdng  1  0.049523 29.645 -8629.9
+ LotShape_2           1  0.045856 29.649 -8629.7
+ BsmtFullBath         1  0.044309 29.650 -8629.6
+ Exterior1st_Plywood  1  0.043711 29.651 -8629.5
+ KitchenAbvGr         1  0.041948 29.653 -8629.4
+ Exterior1st_Stucco   1  0.039858 29.655 -8629.2
+ Street_Pave          1  0.038013 29.657 -8629.1
+ MasVnrType_BrkFace   1  0.033574 29.661 -8628.8
+ X1stFlrSF            1  0.032345 29.662 -8628.7
+ GarageFinish_2       1  0.031595 29.663 -8628.7
+ BsmtExposure_2       1  0.028531 29.666 -8628.5
+ PoolArea             1  0.028036 29.667 -8628.4
+ Exterior1st_WdShing  1  0.026881 29.668 -8628.3
+ GarageType_2         1  0.025163 29.669 -8628.2
+ X3SsnPorch           1  0.018365 29.676 -8627.8
+ GarageQual           1  0.018124 29.677 -8627.7
+ X2ndFlrSF            1  0.015591 29.679 -8627.6
+ Condition1_2         1  0.015149 29.680 -8627.5
+ Exterior1st_MetalSd  1  0.014462 29.680 -8627.5
+ MiscVal              1  0.014265 29.680 -8627.5
+ BsmtFinType1_2       1  0.013171 29.681 -8627.4
+ HouseStyle_2         1  0.012721 29.682 -8627.4
+ Exterior1st_HdBoard  1  0.011894 29.683 -8627.3
+ Exterior1st_CemntBd  1  0.011539 29.683 -8627.3
+ HalfBath             1  0.008626 29.686 -8627.1
+ Exterior1st_AsphShn  1  0.007850 29.687 -8627.0
+ YrSold               1  0.007394 29.687 -8627.0
+ Exterior1st_VinylSd  1  0.007291 29.687 -8627.0
+ OpenPorchSF          1  0.005320 29.689 -8626.8
+ GarageYrBlt          1  0.005105 29.690 -8626.8
+ LandSlope_2          1  0.004852 29.690 -8626.8
+ PoolQC               1  0.003863 29.691 -8626.7
+ MSSubClass           1  0.001633 29.693 -8626.6
+ FullBath             1  0.000817 29.694 -8626.5
+ Exterior1st_ImStucc  1  0.000473 29.694 -8626.5
+ Foundation_2         1  0.000426 29.694 -8626.5
+ BsmtHalfBath         1  0.000418 29.694 -8626.5
+ MasVnrType_None      1  0.000067 29.695 -8626.5
+ TotRmsAbvGrd         1  0.000039 29.695 -8626.5

Step:  AIC=-8636.39
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2

                      Df Sum of Sq    RSS     AIC
+ BsmtCond             1  0.128344 29.424 -8641.5
+ HouseStyle_3         1  0.115924 29.436 -8640.6
+ BldgType_2           1  0.104335 29.448 -8639.8
+ Utilities_NoSewr     1  0.099541 29.453 -8639.4
+ LotFrontage          1  0.090350 29.462 -8638.8
+ GarageCars           1  0.088125 29.464 -8638.6
+ MasVnrType_Stone     1  0.084855 29.467 -8638.4
+ Electrical_2         1  0.084710 29.468 -8638.4
+ Exterior1st_BrkComm  1  0.080503 29.472 -8638.1
+ ExterCond            1  0.077926 29.474 -8637.9
+ LowQualFinSF         1  0.070634 29.482 -8637.4
+ WoodDeckSF           1  0.070008 29.482 -8637.4
+ LotShape_2           1  0.057524 29.495 -8636.5
+ BsmtFinSF1           1  0.056214 29.496 -8636.4
+ BsmtFinSF2           1  0.056214 29.496 -8636.4
<none>                             29.552 -8636.4
+ Exterior1st_Wd.Sdng  1  0.049893 29.502 -8636.0
+ BedroomAbvGr         1  0.048866 29.503 -8635.9
+ GarageFinish_2       1  0.048036 29.504 -8635.8
+ Street_Pave          1  0.044518 29.508 -8635.6
+ BsmtFullBath         1  0.043803 29.509 -8635.5
+ KitchenAbvGr         1  0.038662 29.514 -8635.2
+ Exterior1st_Stucco   1  0.038537 29.514 -8635.2
+ BsmtExposure_2       1  0.032278 29.520 -8634.7
+ MasVnrType_BrkFace   1  0.032187 29.520 -8634.7
+ PoolArea             1  0.031913 29.520 -8634.7
+ GarageType_2         1  0.031052 29.521 -8634.6
+ Exterior1st_Plywood  1  0.029741 29.523 -8634.6
+ X1stFlrSF            1  0.029598 29.523 -8634.5
+ Exterior1st_WdShing  1  0.024479 29.528 -8634.2
+ X3SsnPorch           1  0.023543 29.529 -8634.1
+ Condition1_2         1  0.016669 29.536 -8633.6
+ GarageQual           1  0.016611 29.536 -8633.6
+ Exterior1st_VinylSd  1  0.014893 29.537 -8633.5
+ BsmtFinType1_2       1  0.014623 29.538 -8633.5
+ MiscVal              1  0.014590 29.538 -8633.5
+ X2ndFlrSF            1  0.013349 29.539 -8633.4
+ HouseStyle_2         1  0.012641 29.540 -8633.4
+ Exterior1st_CemntBd  1  0.011162 29.541 -8633.3
+ GarageYrBlt          1  0.008878 29.543 -8633.1
+ LandSlope_2          1  0.008432 29.544 -8633.1
+ Exterior1st_MetalSd  1  0.007844 29.544 -8633.0
+ Exterior1st_AsphShn  1  0.007108 29.545 -8633.0
+ YrSold               1  0.006450 29.546 -8632.9
+ HalfBath             1  0.004928 29.547 -8632.8
+ MSSubClass           1  0.004417 29.548 -8632.8
+ OpenPorchSF          1  0.004410 29.548 -8632.8
+ Exterior1st_HdBoard  1  0.003771 29.549 -8632.7
+ PoolQC               1  0.003251 29.549 -8632.7
+ FullBath             1  0.002331 29.550 -8632.6
+ BsmtHalfBath         1  0.001991 29.550 -8632.6
+ Exterior1st_ImStucc  1  0.001457 29.551 -8632.6
+ TotRmsAbvGrd         1  0.000468 29.552 -8632.5
+ MasVnrType_None      1  0.000012 29.552 -8632.5
+ Foundation_2         1  0.000008 29.552 -8632.5

Step:  AIC=-8641.45
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond

                      Df Sum of Sq    RSS     AIC
+ BldgType_2           1  0.100900 29.323 -8644.6
+ GarageCars           1  0.097648 29.326 -8644.4
+ HouseStyle_3         1  0.096714 29.327 -8644.3
+ MasVnrType_Stone     1  0.095573 29.328 -8644.2
+ LotFrontage          1  0.095068 29.329 -8644.2
+ Utilities_NoSewr     1  0.094407 29.329 -8644.2
+ Exterior1st_BrkComm  1  0.079870 29.344 -8643.1
+ Electrical_2         1  0.076812 29.347 -8642.9
+ LowQualFinSF         1  0.065832 29.358 -8642.2
+ BsmtFinSF1           1  0.065225 29.359 -8642.1
+ BsmtFinSF2           1  0.065225 29.359 -8642.1
+ WoodDeckSF           1  0.060892 29.363 -8641.8
+ ExterCond            1  0.057866 29.366 -8641.6
+ X1stFlrSF            1  0.056750 29.367 -8641.5
+ BedroomAbvGr         1  0.056663 29.367 -8641.5
+ LotShape_2           1  0.055928 29.368 -8641.5
<none>                             29.424 -8641.5
+ GarageFinish_2       1  0.054657 29.369 -8641.4
+ Exterior1st_Wd.Sdng  1  0.051373 29.372 -8641.1
+ Street_Pave          1  0.044264 29.380 -8640.6
+ Exterior1st_Stucco   1  0.041169 29.383 -8640.4
+ MasVnrType_BrkFace   1  0.039485 29.384 -8640.3
+ GarageType_2         1  0.036192 29.388 -8640.1
+ BsmtFullBath         1  0.034634 29.389 -8640.0
+ KitchenAbvGr         1  0.033991 29.390 -8639.9
+ X2ndFlrSF            1  0.033095 29.391 -8639.9
+ Exterior1st_Plywood  1  0.029812 29.394 -8639.6
+ PoolArea             1  0.029657 29.394 -8639.6
+ X3SsnPorch           1  0.025590 29.398 -8639.3
+ Exterior1st_WdShing  1  0.024253 29.400 -8639.2
+ HouseStyle_2         1  0.022104 29.402 -8639.1
+ BsmtFinType1_2       1  0.020047 29.404 -8638.9
+ GarageQual           1  0.016632 29.407 -8638.7
+ Condition1_2         1  0.015052 29.409 -8638.6
+ MiscVal              1  0.014474 29.409 -8638.6
+ Exterior1st_VinylSd  1  0.014445 29.410 -8638.6
+ HalfBath             1  0.012421 29.412 -8638.4
+ Exterior1st_AsphShn  1  0.010541 29.413 -8638.3
+ Exterior1st_CemntBd  1  0.009878 29.414 -8638.2
+ MSSubClass           1  0.008294 29.416 -8638.1
+ GarageYrBlt          1  0.008129 29.416 -8638.1
+ Exterior1st_MetalSd  1  0.007693 29.416 -8638.1
+ Exterior1st_HdBoard  1  0.005929 29.418 -8638.0
+ YrSold               1  0.004403 29.419 -8637.8
+ OpenPorchSF          1  0.004385 29.419 -8637.8
+ LandSlope_2          1  0.004355 29.420 -8637.8
+ PoolQC               1  0.003961 29.420 -8637.8
+ BsmtExposure_2       1  0.001914 29.422 -8637.7
+ Exterior1st_ImStucc  1  0.001827 29.422 -8637.7
+ FullBath             1  0.000904 29.423 -8637.6
+ TotRmsAbvGrd         1  0.000460 29.424 -8637.6
+ BsmtHalfBath         1  0.000409 29.424 -8637.6
+ Foundation_2         1  0.000198 29.424 -8637.6
+ MasVnrType_None      1  0.000101 29.424 -8637.5

Step:  AIC=-8644.62
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2

                      Df Sum of Sq    RSS     AIC
+ GarageCars           1  0.105906 29.217 -8648.2
+ Utilities_NoSewr     1  0.096564 29.227 -8647.5
+ MasVnrType_Stone     1  0.092918 29.230 -8647.3
+ BedroomAbvGr         1  0.088385 29.235 -8646.9
+ HouseStyle_3         1  0.085046 29.238 -8646.7
+ Electrical_2         1  0.084886 29.238 -8646.7
+ Exterior1st_BrkComm  1  0.081181 29.242 -8646.4
+ X1stFlrSF            1  0.069279 29.254 -8645.6
+ LowQualFinSF         1  0.066189 29.257 -8645.4
+ BsmtFinSF1           1  0.060239 29.263 -8645.0
+ BsmtFinSF2           1  0.060239 29.263 -8645.0
+ GarageFinish_2       1  0.060053 29.263 -8644.9
+ WoodDeckSF           1  0.059374 29.264 -8644.9
<none>                             29.323 -8644.6
+ ExterCond            1  0.054745 29.268 -8644.6
+ LotShape_2           1  0.054646 29.268 -8644.6
+ LotFrontage          1  0.054048 29.269 -8644.5
+ Exterior1st_Wd.Sdng  1  0.052080 29.271 -8644.4
+ MSSubClass           1  0.044054 29.279 -8643.8
+ Street_Pave          1  0.043031 29.280 -8643.7
+ X2ndFlrSF            1  0.042533 29.280 -8643.7
+ GarageType_2         1  0.039335 29.284 -8643.5
+ Exterior1st_Stucco   1  0.039282 29.284 -8643.5
+ BsmtFullBath         1  0.038859 29.284 -8643.4
+ MasVnrType_BrkFace   1  0.037025 29.286 -8643.3
+ Exterior1st_VinylSd  1  0.036004 29.287 -8643.2
+ PoolArea             1  0.028825 29.294 -8642.7
+ X3SsnPorch           1  0.024870 29.298 -8642.5
+ HouseStyle_2         1  0.023930 29.299 -8642.4
+ Exterior1st_WdShing  1  0.023681 29.299 -8642.4
+ KitchenAbvGr         1  0.021336 29.302 -8642.2
+ BsmtFinType1_2       1  0.019622 29.303 -8642.1
+ Exterior1st_Plywood  1  0.017527 29.305 -8641.9
+ HalfBath             1  0.014664 29.308 -8641.7
+ MiscVal              1  0.014566 29.308 -8641.7
+ GarageQual           1  0.013795 29.309 -8641.7
+ Condition1_2         1  0.013064 29.310 -8641.6
+ Exterior1st_MetalSd  1  0.013012 29.310 -8641.6
+ Exterior1st_AsphShn  1  0.011499 29.311 -8641.5
+ Exterior1st_HdBoard  1  0.006920 29.316 -8641.2
+ LandSlope_2          1  0.006330 29.317 -8641.2
+ GarageYrBlt          1  0.004564 29.319 -8641.0
+ OpenPorchSF          1  0.004179 29.319 -8641.0
+ YrSold               1  0.004055 29.319 -8641.0
+ PoolQC               1  0.003869 29.319 -8641.0
+ Exterior1st_CemntBd  1  0.003721 29.319 -8641.0
+ Exterior1st_ImStucc  1  0.001709 29.321 -8640.8
+ BsmtExposure_2       1  0.001511 29.322 -8640.8
+ BsmtHalfBath         1  0.000898 29.322 -8640.8
+ TotRmsAbvGrd         1  0.000798 29.322 -8640.8
+ Foundation_2         1  0.000090 29.323 -8640.7
+ MasVnrType_None      1  0.000032 29.323 -8640.7
+ FullBath             1  0.000022 29.323 -8640.7

Step:  AIC=-8648.17
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars

                      Df Sum of Sq    RSS     AIC
+ Utilities_NoSewr     1  0.097824 29.119 -8651.2
+ BedroomAbvGr         1  0.093389 29.124 -8650.9
+ Electrical_2         1  0.089581 29.128 -8650.6
+ MasVnrType_Stone     1  0.087883 29.129 -8650.5
+ HouseStyle_3         1  0.087651 29.130 -8650.5
+ Exterior1st_BrkComm  1  0.086269 29.131 -8650.4
+ X1stFlrSF            1  0.072049 29.145 -8649.4
+ LowQualFinSF         1  0.064933 29.152 -8648.8
+ ExterCond            1  0.063328 29.154 -8648.7
+ WoodDeckSF           1  0.062383 29.155 -8648.7
+ BsmtFinSF1           1  0.061386 29.156 -8648.6
+ BsmtFinSF2           1  0.061386 29.156 -8648.6
<none>                             29.217 -8648.2
+ Exterior1st_Wd.Sdng  1  0.052702 29.164 -8648.0
+ LotShape_2           1  0.052568 29.165 -8648.0
+ MSSubClass           1  0.048824 29.168 -8647.7
+ GarageFinish_2       1  0.048330 29.169 -8647.7
+ LotFrontage          1  0.048244 29.169 -8647.7
+ GarageType_2         1  0.045286 29.172 -8647.5
+ X2ndFlrSF            1  0.044893 29.172 -8647.4
+ MasVnrType_BrkFace   1  0.044109 29.173 -8647.4
+ Street_Pave          1  0.041662 29.175 -8647.2
+ Exterior1st_VinylSd  1  0.039869 29.177 -8647.1
+ BsmtFullBath         1  0.037557 29.180 -8646.9
+ Exterior1st_Stucco   1  0.035488 29.182 -8646.8
+ HouseStyle_2         1  0.029506 29.188 -8646.3
+ KitchenAbvGr         1  0.029333 29.188 -8646.3
+ PoolArea             1  0.029298 29.188 -8646.3
+ X3SsnPorch           1  0.025624 29.192 -8646.1
+ Exterior1st_WdShing  1  0.023417 29.194 -8645.9
+ HalfBath             1  0.019190 29.198 -8645.6
+ BsmtFinType1_2       1  0.017809 29.199 -8645.5
+ MiscVal              1  0.017511 29.200 -8645.5
+ Exterior1st_Plywood  1  0.016273 29.201 -8645.4
+ GarageQual           1  0.016226 29.201 -8645.4
+ Exterior1st_AsphShn  1  0.012674 29.204 -8645.2
+ Exterior1st_MetalSd  1  0.012039 29.205 -8645.1
+ Condition1_2         1  0.010785 29.206 -8645.0
+ LandSlope_2          1  0.009247 29.208 -8644.9
+ Exterior1st_HdBoard  1  0.007433 29.210 -8644.8
+ OpenPorchSF          1  0.005736 29.211 -8644.7
+ GarageYrBlt          1  0.004769 29.212 -8644.6
+ PoolQC               1  0.004530 29.213 -8644.6
+ YrSold               1  0.004016 29.213 -8644.5
+ TotRmsAbvGrd         1  0.003717 29.213 -8644.5
+ FullBath             1  0.002032 29.215 -8644.4
+ Exterior1st_CemntBd  1  0.001170 29.216 -8644.3
+ BsmtExposure_2       1  0.001153 29.216 -8644.3
+ Exterior1st_ImStucc  1  0.000999 29.216 -8644.3
+ MasVnrType_None      1  0.000943 29.216 -8644.3
+ BsmtHalfBath         1  0.000871 29.216 -8644.3
+ Foundation_2         1  0.000284 29.217 -8644.3

Step:  AIC=-8651.18
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr

                      Df Sum of Sq    RSS     AIC
+ BedroomAbvGr         1  0.095511 29.024 -8654.0
+ MasVnrType_Stone     1  0.086680 29.033 -8653.4
+ HouseStyle_3         1  0.086677 29.033 -8653.4
+ Exterior1st_BrkComm  1  0.083967 29.035 -8653.2
+ Electrical_2         1  0.076570 29.043 -8652.7
+ LowQualFinSF         1  0.066730 29.053 -8652.0
+ X1stFlrSF            1  0.064671 29.055 -8651.8
+ WoodDeckSF           1  0.062695 29.057 -8651.7
+ BsmtFinSF1           1  0.061564 29.058 -8651.6
+ BsmtFinSF2           1  0.061564 29.058 -8651.6
+ ExterCond            1  0.059110 29.060 -8651.5
+ Exterior1st_Wd.Sdng  1  0.055915 29.063 -8651.2
<none>                             29.119 -8651.2
+ LotShape_2           1  0.055137 29.064 -8651.2
+ LotFrontage          1  0.051635 29.068 -8650.9
+ MSSubClass           1  0.049147 29.070 -8650.7
+ GarageType_2         1  0.048145 29.071 -8650.7
+ GarageFinish_2       1  0.048050 29.071 -8650.7
+ MasVnrType_BrkFace   1  0.043211 29.076 -8650.3
+ X2ndFlrSF            1  0.038888 29.080 -8650.0
+ Exterior1st_VinylSd  1  0.038691 29.081 -8650.0
+ BsmtFullBath         1  0.036613 29.083 -8649.9
+ Exterior1st_Stucco   1  0.034175 29.085 -8649.7
+ KitchenAbvGr         1  0.031422 29.088 -8649.5
+ PoolArea             1  0.031375 29.088 -8649.5
+ HouseStyle_2         1  0.025229 29.094 -8649.1
+ X3SsnPorch           1  0.025081 29.094 -8649.0
+ Exterior1st_WdShing  1  0.022658 29.097 -8648.9
+ BsmtFinType1_2       1  0.021801 29.098 -8648.8
+ MiscVal              1  0.019007 29.100 -8648.6
+ Exterior1st_Plywood  1  0.017309 29.102 -8648.5
+ HalfBath             1  0.016903 29.102 -8648.5
+ Street_Pave          1  0.016049 29.103 -8648.4
+ GarageQual           1  0.015675 29.104 -8648.4
+ Exterior1st_AsphShn  1  0.012440 29.107 -8648.1
+ Exterior1st_MetalSd  1  0.011510 29.108 -8648.1
+ Condition1_2         1  0.010954 29.108 -8648.0
+ Exterior1st_HdBoard  1  0.007863 29.111 -8647.8
+ LandSlope_2          1  0.007321 29.112 -8647.8
+ OpenPorchSF          1  0.005750 29.113 -8647.7
+ PoolQC               1  0.004070 29.115 -8647.6
+ TotRmsAbvGrd         1  0.003666 29.116 -8647.5
+ YrSold               1  0.003362 29.116 -8647.5
+ GarageYrBlt          1  0.002495 29.117 -8647.4
+ FullBath             1  0.002305 29.117 -8647.4
+ BsmtExposure_2       1  0.002182 29.117 -8647.4
+ Exterior1st_ImStucc  1  0.001010 29.118 -8647.3
+ MasVnrType_None      1  0.000950 29.118 -8647.3
+ Exterior1st_CemntBd  1  0.000879 29.118 -8647.3
+ BsmtHalfBath         1  0.000863 29.118 -8647.3
+ Foundation_2         1  0.000182 29.119 -8647.3

Step:  AIC=-8654.04
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr

                      Df Sum of Sq    RSS     AIC
+ HouseStyle_3         1  0.092780 28.931 -8656.7
+ Electrical_2         1  0.092462 28.931 -8656.7
+ MasVnrType_Stone     1  0.091197 28.933 -8656.6
+ Exterior1st_BrkComm  1  0.075631 28.948 -8655.5
+ LowQualFinSF         1  0.075487 28.948 -8655.5
+ BsmtFinSF1           1  0.063459 28.960 -8654.6
+ BsmtFinSF2           1  0.063459 28.960 -8654.6
+ ExterCond            1  0.060915 28.963 -8654.5
+ LotFrontage          1  0.060361 28.963 -8654.4
+ WoodDeckSF           1  0.059858 28.964 -8654.4
<none>                             29.024 -8654.0
+ Exterior1st_Wd.Sdng  1  0.054467 28.969 -8654.0
+ LotShape_2           1  0.054426 28.969 -8654.0
+ MSSubClass           1  0.049620 28.974 -8653.7
+ X1stFlrSF            1  0.046984 28.977 -8653.5
+ GarageFinish_2       1  0.045168 28.979 -8653.3
+ GarageType_2         1  0.043285 28.980 -8653.2
+ MasVnrType_BrkFace   1  0.036728 28.987 -8652.7
+ PoolArea             1  0.035610 28.988 -8652.7
+ BsmtFullBath         1  0.034489 28.989 -8652.6
+ Exterior1st_VinylSd  1  0.032665 28.991 -8652.4
+ Exterior1st_Stucco   1  0.030877 28.993 -8652.3
+ X2ndFlrSF            1  0.024516 28.999 -8651.9
+ HalfBath             1  0.022408 29.001 -8651.7
+ Exterior1st_Plywood  1  0.019894 29.004 -8651.5
+ HouseStyle_2         1  0.019256 29.005 -8651.5
+ GarageQual           1  0.018888 29.005 -8651.5
+ Exterior1st_WdShing  1  0.018845 29.005 -8651.5
+ X3SsnPorch           1  0.018809 29.005 -8651.5
+ BsmtFinType1_2       1  0.018758 29.005 -8651.5
+ KitchenAbvGr         1  0.018445 29.005 -8651.4
+ MiscVal              1  0.018134 29.006 -8651.4
+ Street_Pave          1  0.017893 29.006 -8651.4
+ Exterior1st_AsphShn  1  0.012734 29.011 -8651.0
+ Condition1_2         1  0.010015 29.014 -8650.8
+ TotRmsAbvGrd         1  0.007021 29.017 -8650.6
+ Exterior1st_MetalSd  1  0.006504 29.017 -8650.6
+ LandSlope_2          1  0.004973 29.019 -8650.5
+ OpenPorchSF          1  0.004062 29.020 -8650.4
+ Exterior1st_HdBoard  1  0.003887 29.020 -8650.4
+ GarageYrBlt          1  0.003386 29.020 -8650.4
+ BsmtHalfBath         1  0.002733 29.021 -8650.3
+ YrSold               1  0.002466 29.021 -8650.3
+ BsmtExposure_2       1  0.001239 29.023 -8650.2
+ PoolQC               1  0.001214 29.023 -8650.2
+ Exterior1st_ImStucc  1  0.000526 29.023 -8650.2
+ Exterior1st_CemntBd  1  0.000415 29.023 -8650.2
+ Foundation_2         1  0.000377 29.023 -8650.2
+ MasVnrType_None      1  0.000046 29.024 -8650.1
+ FullBath             1  0.000039 29.024 -8650.1

Step:  AIC=-8656.73
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3

                      Df Sum of Sq    RSS     AIC
+ MasVnrType_Stone     1  0.093638 28.837 -8659.5
+ Electrical_2         1  0.081300 28.850 -8658.6
+ LowQualFinSF         1  0.079453 28.852 -8658.5
+ Exterior1st_BrkComm  1  0.076869 28.854 -8658.3
+ BsmtFinSF1           1  0.068590 28.862 -8657.7
+ BsmtFinSF2           1  0.068590 28.862 -8657.7
+ Exterior1st_Wd.Sdng  1  0.060184 28.871 -8657.1
+ ExterCond            1  0.057164 28.874 -8656.9
+ WoodDeckSF           1  0.055714 28.875 -8656.8
<none>                             28.931 -8656.7
+ LotFrontage          1  0.051251 28.880 -8656.5
+ LotShape_2           1  0.049665 28.881 -8656.4
+ MasVnrType_BrkFace   1  0.048949 28.882 -8656.3
+ GarageFinish_2       1  0.044600 28.886 -8656.0
+ PoolArea             1  0.042137 28.889 -8655.8
+ GarageType_2         1  0.040505 28.890 -8655.7
+ BsmtFullBath         1  0.030450 28.901 -8655.0
+ X1stFlrSF            1  0.029544 28.901 -8654.9
+ Exterior1st_Stucco   1  0.029284 28.902 -8654.9
+ Exterior1st_Plywood  1  0.027276 28.904 -8654.8
+ Exterior1st_VinylSd  1  0.026327 28.905 -8654.7
+ BsmtFinType1_2       1  0.024027 28.907 -8654.5
+ GarageQual           1  0.020247 28.911 -8654.3
+ X3SsnPorch           1  0.019078 28.912 -8654.2
+ MiscVal              1  0.018976 28.912 -8654.2
+ KitchenAbvGr         1  0.018589 28.912 -8654.1
+ Street_Pave          1  0.018416 28.913 -8654.1
+ Exterior1st_WdShing  1  0.017571 28.913 -8654.1
+ Exterior1st_AsphShn  1  0.012964 28.918 -8653.7
+ X2ndFlrSF            1  0.012132 28.919 -8653.7
+ Condition1_2         1  0.011607 28.919 -8653.6
+ LandSlope_2          1  0.011003 28.920 -8653.6
+ HalfBath             1  0.010510 28.921 -8653.6
+ Exterior1st_MetalSd  1  0.009562 28.921 -8653.5
+ MSSubClass           1  0.007275 28.924 -8653.3
+ Exterior1st_HdBoard  1  0.007111 28.924 -8653.3
+ TotRmsAbvGrd         1  0.005158 28.926 -8653.2
+ OpenPorchSF          1  0.005094 28.926 -8653.2
+ HouseStyle_2         1  0.003318 28.928 -8653.1
+ BsmtExposure_2       1  0.002823 28.928 -8653.0
+ GarageYrBlt          1  0.002318 28.929 -8653.0
+ YrSold               1  0.001632 28.929 -8652.9
+ MasVnrType_None      1  0.001126 28.930 -8652.9
+ Exterior1st_CemntBd  1  0.000728 28.930 -8652.9
+ Exterior1st_ImStucc  1  0.000641 28.930 -8652.9
+ PoolQC               1  0.000584 28.930 -8652.9
+ BsmtHalfBath         1  0.000469 28.930 -8652.8
+ FullBath             1  0.000261 28.931 -8652.8
+ Foundation_2         1  0.000011 28.931 -8652.8

Step:  AIC=-8659.5
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3 + MasVnrType_Stone

                      Df Sum of Sq    RSS     AIC
+ Electrical_2         1  0.089040 28.748 -8662.0
+ LowQualFinSF         1  0.078603 28.759 -8661.2
+ Exterior1st_BrkComm  1  0.077431 28.760 -8661.1
+ BsmtFinSF1           1  0.067556 28.770 -8660.4
+ BsmtFinSF2           1  0.067556 28.770 -8660.4
+ Exterior1st_Wd.Sdng  1  0.064145 28.773 -8660.2
+ ExterCond            1  0.060833 28.776 -8659.9
+ WoodDeckSF           1  0.058266 28.779 -8659.8
<none>                             28.837 -8659.5
+ LotFrontage          1  0.048623 28.789 -8659.1
+ LotShape_2           1  0.047825 28.790 -8659.0
+ GarageFinish_2       1  0.041970 28.795 -8658.6
+ PoolArea             1  0.041360 28.796 -8658.5
+ GarageType_2         1  0.038351 28.799 -8658.3
+ Exterior1st_VinylSd  1  0.033958 28.803 -8658.0
+ BsmtFullBath         1  0.033947 28.803 -8658.0
+ Exterior1st_Stucco   1  0.031376 28.806 -8657.8
+ Exterior1st_Plywood  1  0.027438 28.810 -8657.6
+ X1stFlrSF            1  0.023018 28.814 -8657.2
+ BsmtFinType1_2       1  0.020847 28.817 -8657.1
+ Exterior1st_WdShing  1  0.019776 28.818 -8657.0
+ GarageQual           1  0.019729 28.818 -8657.0
+ X3SsnPorch           1  0.019625 28.818 -8657.0
+ MiscVal              1  0.019004 28.818 -8656.9
+ Street_Pave          1  0.017249 28.820 -8656.8
+ KitchenAbvGr         1  0.016464 28.821 -8656.8
+ MasVnrType_None      1  0.013799 28.824 -8656.6
+ Exterior1st_AsphShn  1  0.012710 28.825 -8656.5
+ Exterior1st_MetalSd  1  0.011900 28.826 -8656.4
+ Condition1_2         1  0.009473 28.828 -8656.3
+ MasVnrType_BrkFace   1  0.009468 28.828 -8656.3
+ LandSlope_2          1  0.008174 28.829 -8656.2
+ X2ndFlrSF            1  0.008173 28.829 -8656.2
+ MSSubClass           1  0.008063 28.829 -8656.2
+ Exterior1st_HdBoard  1  0.005681 28.832 -8656.0
+ OpenPorchSF          1  0.005663 28.832 -8656.0
+ HalfBath             1  0.004466 28.833 -8655.9
+ YrSold               1  0.003905 28.834 -8655.9
+ TotRmsAbvGrd         1  0.003220 28.834 -8655.8
+ BsmtExposure_2       1  0.002239 28.835 -8655.7
+ GarageYrBlt          1  0.002220 28.835 -8655.7
+ Exterior1st_CemntBd  1  0.001938 28.835 -8655.7
+ HouseStyle_2         1  0.001830 28.835 -8655.7
+ FullBath             1  0.001013 28.836 -8655.7
+ Exterior1st_ImStucc  1  0.000846 28.837 -8655.6
+ PoolQC               1  0.000258 28.837 -8655.6
+ BsmtHalfBath         1  0.000106 28.837 -8655.6
+ Foundation_2         1  0.000004 28.837 -8655.6

Step:  AIC=-8661.96
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3 + MasVnrType_Stone + Electrical_2

                      Df Sum of Sq    RSS     AIC
+ LowQualFinSF         1  0.081315 28.667 -8663.9
+ Exterior1st_BrkComm  1  0.074133 28.674 -8663.4
+ Exterior1st_Wd.Sdng  1  0.073083 28.675 -8663.3
+ BsmtFinSF1           1  0.067285 28.681 -8662.9
+ BsmtFinSF2           1  0.067285 28.681 -8662.9
<none>                             28.748 -8662.0
+ WoodDeckSF           1  0.053174 28.695 -8661.9
+ ExterCond            1  0.051060 28.697 -8661.7
+ LotFrontage          1  0.049379 28.699 -8661.6
+ LotShape_2           1  0.047753 28.701 -8661.5
+ GarageFinish_2       1  0.042461 28.706 -8661.1
+ PoolArea             1  0.042114 28.706 -8661.1
+ GarageType_2         1  0.038021 28.710 -8660.8
+ BsmtFullBath         1  0.036642 28.712 -8660.7
+ Exterior1st_Stucco   1  0.035257 28.713 -8660.6
+ Exterior1st_VinylSd  1  0.033535 28.715 -8660.5
+ Exterior1st_Plywood  1  0.030940 28.717 -8660.3
+ BsmtFinType1_2       1  0.023784 28.724 -8659.8
+ Exterior1st_WdShing  1  0.022062 28.726 -8659.6
+ X1stFlrSF            1  0.021947 28.726 -8659.6
+ Street_Pave          1  0.021006 28.727 -8659.6
+ X3SsnPorch           1  0.019573 28.729 -8659.5
+ GarageQual           1  0.019251 28.729 -8659.4
+ MiscVal              1  0.017473 28.731 -8659.3
+ MasVnrType_None      1  0.015271 28.733 -8659.1
+ Exterior1st_MetalSd  1  0.013346 28.735 -8659.0
+ Exterior1st_AsphShn  1  0.012867 28.735 -8659.0
+ KitchenAbvGr         1  0.012460 28.736 -8658.9
+ MasVnrType_BrkFace   1  0.010567 28.738 -8658.8
+ Exterior1st_HdBoard  1  0.009415 28.739 -8658.7
+ Condition1_2         1  0.008835 28.739 -8658.7
+ LandSlope_2          1  0.007979 28.740 -8658.6
+ X2ndFlrSF            1  0.007373 28.741 -8658.6
+ MSSubClass           1  0.006465 28.742 -8658.5
+ OpenPorchSF          1  0.005298 28.743 -8658.4
+ GarageYrBlt          1  0.004685 28.744 -8658.4
+ YrSold               1  0.004632 28.744 -8658.4
+ HalfBath             1  0.003676 28.745 -8658.3
+ TotRmsAbvGrd         1  0.003599 28.745 -8658.3
+ HouseStyle_2         1  0.003387 28.745 -8658.3
+ BsmtExposure_2       1  0.003157 28.745 -8658.3
+ Exterior1st_CemntBd  1  0.002339 28.746 -8658.2
+ FullBath             1  0.001214 28.747 -8658.1
+ Exterior1st_ImStucc  1  0.000850 28.747 -8658.1
+ PoolQC               1  0.000167 28.748 -8658.1
+ BsmtHalfBath         1  0.000124 28.748 -8658.1
+ Foundation_2         1  0.000096 28.748 -8658.1

Step:  AIC=-8663.89
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3 + MasVnrType_Stone + Electrical_2 + LowQualFinSF

                      Df Sum of Sq    RSS     AIC
+ Exterior1st_BrkComm  1  0.072196 28.595 -8665.2
+ Exterior1st_Wd.Sdng  1  0.072064 28.595 -8665.2
+ BsmtFinSF1           1  0.063447 28.604 -8664.6
+ BsmtFinSF2           1  0.063447 28.604 -8664.6
<none>                             28.667 -8663.9
+ WoodDeckSF           1  0.053695 28.613 -8663.8
+ ExterCond            1  0.049221 28.618 -8663.5
+ LotShape_2           1  0.048645 28.618 -8663.5
+ LotFrontage          1  0.048302 28.619 -8663.5
+ PoolArea             1  0.043332 28.624 -8663.1
+ GarageFinish_2       1  0.040786 28.626 -8662.9
+ BsmtFullBath         1  0.036645 28.630 -8662.6
+ Exterior1st_VinylSd  1  0.034685 28.632 -8662.5
+ Exterior1st_Plywood  1  0.033280 28.634 -8662.4
+ GarageType_2         1  0.031272 28.636 -8662.2
+ Exterior1st_Stucco   1  0.031148 28.636 -8662.2
+ BsmtFinType1_2       1  0.023740 28.643 -8661.7
+ Exterior1st_WdShing  1  0.022992 28.644 -8661.6
+ Street_Pave          1  0.021359 28.646 -8661.5
+ X3SsnPorch           1  0.018564 28.648 -8661.3
+ X1stFlrSF            1  0.018118 28.649 -8661.3
+ X2ndFlrSF            1  0.018118 28.649 -8661.3
+ Exterior1st_MetalSd  1  0.017053 28.650 -8661.2
+ MiscVal              1  0.016874 28.650 -8661.2
+ MasVnrType_None      1  0.016855 28.650 -8661.2
+ KitchenAbvGr         1  0.015269 28.652 -8661.1
+ GarageQual           1  0.014775 28.652 -8661.0
+ Exterior1st_AsphShn  1  0.012706 28.654 -8660.9
+ MasVnrType_BrkFace   1  0.011915 28.655 -8660.8
+ LandSlope_2          1  0.009323 28.658 -8660.7
+ Exterior1st_HdBoard  1  0.009093 28.658 -8660.6
+ Condition1_2         1  0.008175 28.659 -8660.6
+ MSSubClass           1  0.006118 28.661 -8660.4
+ HouseStyle_2         1  0.006102 28.661 -8660.4
+ HalfBath             1  0.006064 28.661 -8660.4
+ TotRmsAbvGrd         1  0.005268 28.662 -8660.4
+ OpenPorchSF          1  0.004945 28.662 -8660.3
+ YrSold               1  0.004808 28.662 -8660.3
+ Exterior1st_CemntBd  1  0.003309 28.664 -8660.2
+ BsmtExposure_2       1  0.003144 28.664 -8660.2
+ GarageYrBlt          1  0.002749 28.664 -8660.2
+ FullBath             1  0.001155 28.666 -8660.1
+ Exterior1st_ImStucc  1  0.000949 28.666 -8660.0
+ Foundation_2         1  0.000104 28.667 -8660.0
+ PoolQC               1  0.000102 28.667 -8660.0
+ BsmtHalfBath         1  0.000067 28.667 -8660.0

Step:  AIC=-8665.18
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3 + MasVnrType_Stone + Electrical_2 + LowQualFinSF + 
    Exterior1st_BrkComm

                      Df Sum of Sq    RSS     AIC
+ Exterior1st_Wd.Sdng  1  0.078052 28.517 -8666.9
+ BsmtFinSF1           1  0.063853 28.531 -8665.9
+ BsmtFinSF2           1  0.063853 28.531 -8665.9
+ WoodDeckSF           1  0.055985 28.539 -8665.3
<none>                             28.595 -8665.2
+ LotShape_2           1  0.051044 28.544 -8665.0
+ ExterCond            1  0.050229 28.545 -8664.9
+ LotFrontage          1  0.048138 28.547 -8664.7
+ GarageFinish_2       1  0.041833 28.553 -8664.3
+ PoolArea             1  0.041619 28.553 -8664.3
+ BsmtFullBath         1  0.036389 28.558 -8663.9
+ GarageType_2         1  0.034009 28.561 -8663.7
+ Exterior1st_VinylSd  1  0.033668 28.561 -8663.7
+ Exterior1st_Stucco   1  0.031906 28.563 -8663.6
+ Exterior1st_Plywood  1  0.030942 28.564 -8663.5
+ Exterior1st_WdShing  1  0.024490 28.570 -8663.0
+ BsmtFinType1_2       1  0.022045 28.573 -8662.9
+ Street_Pave          1  0.021422 28.573 -8662.8
+ X1stFlrSF            1  0.021106 28.574 -8662.8
+ X2ndFlrSF            1  0.021106 28.574 -8662.8
+ Exterior1st_MetalSd  1  0.019269 28.576 -8662.7
+ X3SsnPorch           1  0.019257 28.576 -8662.7
+ MiscVal              1  0.017718 28.577 -8662.5
+ MasVnrType_None      1  0.015180 28.580 -8662.4
+ GarageQual           1  0.015073 28.580 -8662.4
+ KitchenAbvGr         1  0.013769 28.581 -8662.3
+ Exterior1st_AsphShn  1  0.013170 28.582 -8662.2
+ LandSlope_2          1  0.010777 28.584 -8662.0
+ MasVnrType_BrkFace   1  0.010705 28.584 -8662.0
+ Condition1_2         1  0.009058 28.586 -8661.9
+ Exterior1st_HdBoard  1  0.007709 28.587 -8661.8
+ HouseStyle_2         1  0.006277 28.588 -8661.7
+ HalfBath             1  0.006252 28.589 -8661.7
+ OpenPorchSF          1  0.005907 28.589 -8661.7
+ MSSubClass           1  0.005628 28.589 -8661.7
+ TotRmsAbvGrd         1  0.005289 28.590 -8661.7
+ YrSold               1  0.004733 28.590 -8661.6
+ Exterior1st_CemntBd  1  0.003381 28.591 -8661.5
+ BsmtExposure_2       1  0.002601 28.592 -8661.5
+ GarageYrBlt          1  0.001960 28.593 -8661.4
+ Exterior1st_ImStucc  1  0.001065 28.594 -8661.3
+ FullBath             1  0.000689 28.594 -8661.3
+ PoolQC               1  0.000226 28.595 -8661.3
+ Foundation_2         1  0.000148 28.595 -8661.3
+ BsmtHalfBath         1  0.000118 28.595 -8661.3

Step:  AIC=-8666.91
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3 + MasVnrType_Stone + Electrical_2 + LowQualFinSF + 
    Exterior1st_BrkComm + Exterior1st_Wd.Sdng

                      Df Sum of Sq    RSS     AIC
+ BsmtFinSF1           1  0.071208 28.445 -8668.1
+ BsmtFinSF2           1  0.071208 28.445 -8668.1
+ Exterior1st_MetalSd  1  0.058976 28.458 -8667.3
+ ExterCond            1  0.058187 28.459 -8667.2
<none>                             28.517 -8666.9
+ WoodDeckSF           1  0.051364 28.465 -8666.7
+ LotShape_2           1  0.050748 28.466 -8666.7
+ Exterior1st_Stucco   1  0.048665 28.468 -8666.5
+ LotFrontage          1  0.045931 28.471 -8666.3
+ GarageFinish_2       1  0.044824 28.472 -8666.2
+ PoolArea             1  0.042174 28.475 -8666.0
+ Exterior1st_WdShing  1  0.035891 28.481 -8665.6
+ BsmtFullBath         1  0.035267 28.482 -8665.5
+ GarageType_2         1  0.034126 28.483 -8665.5
+ BsmtFinType1_2       1  0.021785 28.495 -8664.6
+ Exterior1st_VinylSd  1  0.019825 28.497 -8664.4
+ Exterior1st_Plywood  1  0.019288 28.497 -8664.4
+ Street_Pave          1  0.018691 28.498 -8664.3
+ X3SsnPorch           1  0.017574 28.499 -8664.3
+ MiscVal              1  0.017312 28.499 -8664.2
+ X1stFlrSF            1  0.016839 28.500 -8664.2
+ X2ndFlrSF            1  0.016839 28.500 -8664.2
+ MasVnrType_None      1  0.015322 28.501 -8664.1
+ GarageQual           1  0.015111 28.502 -8664.1
+ Exterior1st_AsphShn  1  0.015039 28.502 -8664.1
+ KitchenAbvGr         1  0.014611 28.502 -8664.0
+ LandSlope_2          1  0.010945 28.506 -8663.8
+ MasVnrType_BrkFace   1  0.010439 28.506 -8663.7
+ Condition1_2         1  0.010356 28.506 -8663.7
+ MSSubClass           1  0.008241 28.509 -8663.6
+ HalfBath             1  0.005328 28.511 -8663.4
+ TotRmsAbvGrd         1  0.004761 28.512 -8663.3
+ OpenPorchSF          1  0.004726 28.512 -8663.3
+ HouseStyle_2         1  0.004167 28.513 -8663.3
+ YrSold               1  0.002957 28.514 -8663.2
+ BsmtExposure_2       1  0.002571 28.514 -8663.2
+ Exterior1st_CemntBd  1  0.001912 28.515 -8663.1
+ GarageYrBlt          1  0.001737 28.515 -8663.1
+ Exterior1st_HdBoard  1  0.001516 28.515 -8663.1
+ Exterior1st_ImStucc  1  0.001074 28.516 -8663.1
+ FullBath             1  0.000286 28.517 -8663.0
+ Foundation_2         1  0.000194 28.517 -8663.0
+ PoolQC               1  0.000190 28.517 -8663.0
+ BsmtHalfBath         1  0.000099 28.517 -8663.0

Step:  AIC=-8668.15
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3 + MasVnrType_Stone + Electrical_2 + LowQualFinSF + 
    Exterior1st_BrkComm + Exterior1st_Wd.Sdng + BsmtFinSF1

                      Df Sum of Sq    RSS     AIC
+ ExterCond            1  0.064010 28.381 -8668.9
+ Exterior1st_MetalSd  1  0.055586 28.390 -8668.3
+ WoodDeckSF           1  0.055001 28.390 -8668.2
<none>                             28.445 -8668.1
+ LotShape_2           1  0.050185 28.395 -8667.9
+ Exterior1st_Stucco   1  0.047343 28.398 -8667.7
+ LotFrontage          1  0.046159 28.399 -8667.6
+ GarageFinish_2       1  0.043478 28.402 -8667.4
+ PoolArea             1  0.039208 28.406 -8667.1
+ Exterior1st_WdShing  1  0.038034 28.407 -8667.0
+ GarageType_2         1  0.034049 28.412 -8666.7
+ BsmtFullBath         1  0.032504 28.413 -8666.6
+ BsmtFinType1_2       1  0.028150 28.417 -8666.3
+ Street_Pave          1  0.019615 28.426 -8665.7
+ Exterior1st_VinylSd  1  0.019526 28.426 -8665.7
+ X1stFlrSF            1  0.016730 28.429 -8665.4
+ X2ndFlrSF            1  0.016730 28.429 -8665.4
+ MiscVal              1  0.016165 28.429 -8665.4
+ Exterior1st_Plywood  1  0.015973 28.430 -8665.4
+ Exterior1st_AsphShn  1  0.015850 28.430 -8665.4
+ MasVnrType_None      1  0.015462 28.430 -8665.4
+ GarageQual           1  0.014692 28.431 -8665.3
+ X3SsnPorch           1  0.014523 28.431 -8665.3
+ KitchenAbvGr         1  0.013790 28.432 -8665.2
+ LandSlope_2          1  0.011821 28.434 -8665.1
+ Condition1_2         1  0.010788 28.435 -8665.0
+ MasVnrType_BrkFace   1  0.010565 28.435 -8665.0
+ MSSubClass           1  0.006886 28.439 -8664.7
+ HalfBath             1  0.006420 28.439 -8664.7
+ OpenPorchSF          1  0.005411 28.440 -8664.6
+ BsmtExposure_2       1  0.004692 28.441 -8664.6
+ TotRmsAbvGrd         1  0.004604 28.441 -8664.6
+ HouseStyle_2         1  0.003967 28.442 -8664.5
+ Exterior1st_CemntBd  1  0.003283 28.442 -8664.5
+ YrSold               1  0.002695 28.443 -8664.4
+ Exterior1st_HdBoard  1  0.001450 28.444 -8664.3
+ GarageYrBlt          1  0.001259 28.444 -8664.3
+ BsmtHalfBath         1  0.000912 28.445 -8664.3
+ Exterior1st_ImStucc  1  0.000732 28.445 -8664.3
+ Foundation_2         1  0.000222 28.445 -8664.3
+ PoolQC               1  0.000158 28.445 -8664.2
+ FullBath             1  0.000042 28.445 -8664.2

Step:  AIC=-8668.88
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3 + MasVnrType_Stone + Electrical_2 + LowQualFinSF + 
    Exterior1st_BrkComm + Exterior1st_Wd.Sdng + BsmtFinSF1 + 
    ExterCond

                      Df Sum of Sq    RSS     AIC
<none>                             28.381 -8668.9
+ Exterior1st_Stucco   1  0.053730 28.328 -8668.9
+ WoodDeckSF           1  0.053575 28.328 -8668.9
+ LotShape_2           1  0.050125 28.331 -8668.6
+ LotFrontage          1  0.048597 28.333 -8668.5
+ Exterior1st_MetalSd  1  0.046989 28.334 -8668.4
+ Exterior1st_WdShing  1  0.044826 28.337 -8668.2
+ GarageFinish_2       1  0.042060 28.340 -8668.0
+ GarageType_2         1  0.038048 28.343 -8667.7
+ PoolArea             1  0.034338 28.347 -8667.5
+ BsmtFullBath         1  0.034053 28.348 -8667.4
+ Exterior1st_VinylSd  1  0.023301 28.358 -8666.7
+ BsmtFinType1_2       1  0.022843 28.359 -8666.6
+ Street_Pave          1  0.021712 28.360 -8666.5
+ Exterior1st_AsphShn  1  0.017726 28.364 -8666.3
+ Exterior1st_Plywood  1  0.015858 28.366 -8666.1
+ KitchenAbvGr         1  0.015819 28.366 -8666.1
+ MiscVal              1  0.014635 28.367 -8666.0
+ MasVnrType_None      1  0.014288 28.367 -8666.0
+ X1stFlrSF            1  0.014271 28.367 -8666.0
+ X2ndFlrSF            1  0.014271 28.367 -8666.0
+ GarageQual           1  0.013076 28.369 -8665.9
+ X3SsnPorch           1  0.012647 28.369 -8665.9
+ Condition1_2         1  0.012380 28.369 -8665.9
+ LandSlope_2          1  0.012098 28.369 -8665.8
+ MSSubClass           1  0.011683 28.370 -8665.8
+ MasVnrType_BrkFace   1  0.009947 28.372 -8665.7
+ OpenPorchSF          1  0.004968 28.377 -8665.3
+ TotRmsAbvGrd         1  0.004770 28.377 -8665.3
+ HalfBath             1  0.004615 28.377 -8665.3
+ HouseStyle_2         1  0.003114 28.378 -8665.2
+ BsmtExposure_2       1  0.002879 28.379 -8665.2
+ YrSold               1  0.002866 28.379 -8665.2
+ Exterior1st_CemntBd  1  0.002725 28.379 -8665.2
+ Foundation_2         1  0.001303 28.380 -8665.1
+ Exterior1st_ImStucc  1  0.000875 28.381 -8665.0
+ GarageYrBlt          1  0.000869 28.381 -8665.0
+ BsmtHalfBath         1  0.000846 28.381 -8665.0
+ PoolQC               1  0.000525 28.381 -8665.0
+ FullBath             1  0.000472 28.381 -8665.0
+ Exterior1st_HdBoard  1  0.000452 28.381 -8665.0
formula(fowardBIClog)
SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + KitchenQual + 
    Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + BldgType_3 + 
    Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + ExterQual + 
    MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + PavedDrive_2 + 
    SaleCondition_2 + LotArea + ScreenPorch + BsmtFinType1_3 + 
    FireplaceQu + GarageCond + MasVnrArea + Exterior1st_BrkFace + 
    Exterior1st_PreCast + EnclosedPorch + Neighborhood_Tier_2 + 
    BsmtCond + BldgType_2 + GarageCars + Utilities_NoSewr + BedroomAbvGr + 
    HouseStyle_3 + MasVnrType_Stone + Electrical_2 + LowQualFinSF + 
    Exterior1st_BrkComm + Exterior1st_Wd.Sdng + BsmtFinSF1 + 
    ExterCond
vif(fowardBIClog)
          GrLivArea            HouseAge         TotalBsmtSF         KitchenQual          Fireplaces          GarageArea          RemodelAge 
           3.464887            4.478465            7.871187            2.555003            4.638130            5.654588            2.353259 
          BsmtUnfSF          BldgType_3        Functional_2 Neighborhood_Tier_3        CentralAir_Y           ExterQual          MSZoning_2 
           6.786878            1.243084            1.175836            3.886410            1.589675            2.951558            1.630260 
     BsmtExposure_3            BsmtQual           HeatingQC        PavedDrive_2     SaleCondition_2             LotArea         ScreenPorch 
           1.530873            3.982670            1.679550            1.541874            1.101157            1.280794            1.094703 
     BsmtFinType1_3         FireplaceQu          GarageCond          MasVnrArea Exterior1st_BrkFace Exterior1st_PreCast       EnclosedPorch 
           2.021662            4.493299            1.868397            1.382998            1.147268            1.038186            1.216179 
Neighborhood_Tier_2            BsmtCond          BldgType_2          GarageCars    Utilities_NoSewr        BedroomAbvGr        HouseStyle_3 
           2.192308            2.537351            1.334143            6.115548            1.046806            2.102741            1.198616 
   MasVnrType_Stone        Electrical_2        LowQualFinSF Exterior1st_BrkComm Exterior1st_Wd.Sdng          BsmtFinSF1           ExterCond 
           1.176791            1.317431            1.069376            1.046853            1.259167            7.877670            1.166069 
summary(fowardBIClog)

Call:
lm(formula = SalePrice ~ GrLivArea + HouseAge + TotalBsmtSF + 
    KitchenQual + Fireplaces + GarageArea + RemodelAge + BsmtUnfSF + 
    BldgType_3 + Functional_2 + Neighborhood_Tier_3 + CentralAir_Y + 
    ExterQual + MSZoning_2 + BsmtExposure_3 + BsmtQual + HeatingQC + 
    PavedDrive_2 + SaleCondition_2 + LotArea + ScreenPorch + 
    BsmtFinType1_3 + FireplaceQu + GarageCond + MasVnrArea + 
    Exterior1st_BrkFace + Exterior1st_PreCast + EnclosedPorch + 
    Neighborhood_Tier_2 + BsmtCond + BldgType_2 + GarageCars + 
    Utilities_NoSewr + BedroomAbvGr + HouseStyle_3 + MasVnrType_Stone + 
    Electrical_2 + LowQualFinSF + Exterior1st_BrkComm + Exterior1st_Wd.Sdng + 
    BsmtFinSF1 + ExterCond, data = df_log)

Residuals:
     Min       1Q   Median       3Q      Max 
-0.90134 -0.06076  0.00708  0.07020  0.54481 

Coefficients:
                      Estimate Std. Error t value Pr(>|t|)    
(Intercept)          1.092e+01  4.723e-02 231.240  < 2e-16 ***
GrLivArea            3.285e-04  1.011e-05  32.482  < 2e-16 ***
HouseAge            -3.888e-04  1.870e-04  -2.079 0.037727 *  
TotalBsmtSF          1.393e-04  1.760e-05   7.911 4.15e-15 ***
KitchenQual          4.113e-02  6.603e-03   6.228 5.73e-10 ***
Fireplaces           1.658e-02  8.732e-03   1.899 0.057691 .  
GarageArea           5.730e-05  3.026e-05   1.893 0.058444 .  
RemodelAge          -1.801e-03  1.951e-04  -9.231  < 2e-16 ***
BsmtUnfSF           -3.395e-05  1.623e-05  -2.092 0.036571 *  
BldgType_3          -7.869e-02  1.009e-02  -7.799 9.90e-15 ***
Functional_2        -1.065e-01  1.137e-02  -9.368  < 2e-16 ***
Neighborhood_Tier_3 -7.989e-02  1.032e-02  -7.742 1.54e-14 ***
CentralAir_Y         9.625e-02  1.331e-02   7.232 6.73e-13 ***
ExterQual            3.586e-02  8.048e-03   4.456 8.80e-06 ***
MSZoning_2          -6.940e-02  8.763e-03  -7.920 3.88e-15 ***
BsmtExposure_3      -5.269e-02  1.000e-02  -5.268 1.52e-07 ***
BsmtQual             1.637e-02  5.948e-03   2.752 0.005984 ** 
HeatingQC            1.630e-02  3.522e-03   4.628 3.93e-06 ***
PavedDrive_2        -5.161e-02  1.140e-02  -4.527 6.34e-06 ***
SaleCondition_2     -7.216e-02  1.671e-02  -4.318 1.65e-05 ***
LotArea              1.533e-06  3.464e-07   4.424 1.02e-05 ***
ScreenPorch          2.213e-04  4.755e-05   4.654 3.47e-06 ***
BsmtFinType1_3      -3.057e-02  7.948e-03  -3.846 0.000124 ***
FireplaceQu          1.084e-02  3.102e-03   3.495 0.000485 ***
GarageCond           1.759e-02  5.220e-03   3.370 0.000765 ***
MasVnrArea           6.536e-05  1.784e-05   3.664 0.000255 ***
Exterior1st_BrkFace  7.466e-02  1.577e-02   4.733 2.36e-06 ***
Exterior1st_PreCast  4.093e-01  1.208e-01   3.387 0.000720 ***
EnclosedPorch        1.378e-04  4.558e-05   3.024 0.002523 ** 
Neighborhood_Tier_2 -3.214e-02  8.576e-03  -3.747 0.000184 ***
BsmtCond             2.083e-02  7.454e-03   2.795 0.005247 ** 
BldgType_2          -3.569e-02  1.147e-02  -3.111 0.001888 ** 
GarageCars           2.655e-02  8.732e-03   3.040 0.002396 ** 
Utilities_NoSewr    -2.092e-01  8.582e-02  -2.438 0.014851 *  
BedroomAbvGr        -1.371e-02  4.600e-03  -2.980 0.002915 ** 
HouseStyle_3         2.815e-02  1.072e-02   2.627 0.008676 ** 
MasVnrType_Stone     3.054e-02  1.097e-02   2.783 0.005430 ** 
Electrical_2        -2.649e-02  1.067e-02  -2.482 0.013130 *  
LowQualFinSF        -1.611e-04  7.122e-05  -2.263 0.023761 *  
Exterior1st_BrkComm  1.300e-01  5.432e-02   2.393 0.016809 *  
Exterior1st_Wd.Sdng  2.151e-02  8.298e-03   2.592 0.009610 ** 
BsmtFinSF1           4.000e-05  1.709e-05   2.341 0.019334 *  
ExterCond            1.599e-02  7.495e-03   2.134 0.032971 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.1186 on 2019 degrees of freedom
Multiple R-squared:  0.906, Adjusted R-squared:  0.904 
F-statistic: 463.1 on 42 and 2019 DF,  p-value: < 2.2e-16

Running BIC again with insights

df_i=read.csv('data/cleanforR_i.csv', stringsAsFactors = TRUE)
head(df_i)
model.saturated.insights = lm(SalePrice ~ ., data = df_i)
model.empty.i = lm(SalePrice ~ 1, data = df_i) #The model with an intercept ONLY.
scope = list(lower = formula(model.empty.i), upper = formula(model.saturated.insights))

fowardBICi = step(model.empty.i, scope, direction = "forward", k = log(50))
Start:  AIC=-3958.6
SalePrice ~ 1

               Df Sum of Sq     RSS     AIC
+ TotalArea     1   215.167  86.629 -6528.3
+ TotalBath     1   137.635 164.160 -5210.3
+ GarageCars    1   137.242 164.553 -5205.3
+ ExterQual     1   134.529 167.266 -5171.6
+ KitchenQual   1   131.334 170.461 -5132.6
+ BsmtQual      1   113.541 188.254 -4927.9
+ HouseAge      1   107.200 194.595 -4859.6
+ Neighborhood  2   104.958 196.837 -4832.0
+ RemodelAge    1    98.659 203.136 -4771.0
+ Fireplaces    1    78.865 222.930 -4579.3
+ HeatingQC     1    72.166 229.629 -4518.2
+ CentralAir    1    41.460 260.335 -4259.4
+ GarageQual    1    34.784 267.011 -4207.2
+ PavedDrive    1    34.575 267.220 -4205.6
+ NoPorch       1    29.227 272.568 -4164.7
+ HasDeck       1    29.223 272.572 -4164.7
+ LotArea       1    20.435 281.360 -4099.3
+ PartialSale   1    12.357 289.438 -4040.9
+ BedroomAbvGr  1    12.162 289.633 -4039.5
+ BldgType      4    11.900 289.895 -4025.9
+ Heating       5     5.251 296.544 -3975.2
+ MultStory     1     0.696 301.099 -3959.4
<none>                      301.795 -3958.6

Step:  AIC=-6528.31
SalePrice ~ TotalArea

               Df Sum of Sq    RSS     AIC
+ ExterQual     1   22.7589 63.870 -7152.9
+ RemodelAge    1   22.3255 64.303 -7138.9
+ KitchenQual   1   22.1596 64.469 -7133.6
+ HouseAge      1   21.6053 65.023 -7115.9
+ Neighborhood  2   21.6239 65.005 -7112.6
+ HeatingQC     1   13.3194 73.309 -6868.6
+ TotalBath     1   11.0543 75.574 -6805.9
+ BsmtQual      1    8.7925 77.836 -6745.1
+ BldgType      4    7.4798 79.149 -6698.9
+ GarageCars    1    5.5451 81.084 -6660.8
+ Fireplaces    1    5.5358 81.093 -6660.6
+ BedroomAbvGr  1    4.9595 81.669 -6646.0
+ CentralAir    1    4.6893 81.939 -6639.1
+ HasDeck       1    4.2839 82.345 -6629.0
+ PavedDrive    1    3.2689 83.360 -6603.7
+ PartialSale   1    2.1625 84.466 -6576.5
+ NoPorch       1    1.2813 85.347 -6555.1
+ GarageQual    1    0.5511 86.078 -6537.6
+ Heating       5    1.1615 85.467 -6536.6
+ LotArea       1    0.4455 86.183 -6535.0
<none>                      86.629 -6528.3
+ MultStory     1    0.0767 86.552 -6526.2

Step:  AIC=-7152.86
SalePrice ~ TotalArea + ExterQual

               Df Sum of Sq    RSS     AIC
+ RemodelAge    1    7.6584 56.211 -7412.3
+ HouseAge      1    7.2567 56.613 -7397.6
+ Neighborhood  2    7.1910 56.679 -7391.3
+ TotalBath     1    5.6203 58.249 -7338.9
+ Fireplaces    1    5.5954 58.274 -7338.0
+ KitchenQual   1    5.3141 58.556 -7328.1
+ HeatingQC     1    3.4912 60.379 -7264.9
+ CentralAir    1    3.3133 60.556 -7258.8
+ BldgType      4    2.9738 60.896 -7235.5
+ PavedDrive    1    2.3445 61.525 -7226.1
+ HasDeck       1    1.7556 62.114 -7206.4
+ BsmtQual      1    1.7524 62.117 -7206.3
+ LotArea       1    1.5180 62.352 -7198.5
+ GarageCars    1    1.4992 62.371 -7197.9
+ BedroomAbvGr  1    0.5536 63.316 -7166.9
+ GarageQual    1    0.3611 63.509 -7160.6
+ PartialSale   1    0.3599 63.510 -7160.6
+ MultStory     1    0.3055 63.564 -7158.8
+ NoPorch       1    0.1518 63.718 -7153.9
<none>                      63.870 -7152.9
+ Heating       5    0.5605 63.309 -7151.5

Step:  AIC=-7412.32
SalePrice ~ TotalArea + ExterQual + RemodelAge

               Df Sum of Sq    RSS     AIC
+ Fireplaces    1    6.3342 49.877 -7654.9
+ Neighborhood  2    3.7710 52.440 -7547.7
+ HouseAge      1    3.3906 52.821 -7536.7
+ TotalBath     1    3.1246 53.087 -7526.3
+ BldgType      4    2.5217 53.690 -7491.3
+ KitchenQual   1    2.1713 54.040 -7489.6
+ CentralAir    1    2.0018 54.210 -7483.2
+ LotArea       1    1.8280 54.383 -7476.6
+ PavedDrive    1    1.7411 54.470 -7473.3
+ HeatingQC     1    1.1159 55.095 -7449.8
+ GarageCars    1    0.8519 55.359 -7439.9
+ HasDeck       1    0.8166 55.395 -7438.6
+ BsmtQual      1    0.4498 55.761 -7425.0
+ BedroomAbvGr  1    0.4091 55.802 -7423.5
+ GarageQual    1    0.3994 55.812 -7423.1
+ MultStory     1    0.1694 56.042 -7414.6
+ PartialSale   1    0.1684 56.043 -7414.6
<none>                      56.211 -7412.3
+ NoPorch       1    0.0539 56.157 -7410.4
+ Heating       5    0.3579 55.853 -7405.9

Step:  AIC=-7654.93
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces

               Df Sum of Sq    RSS     AIC
+ HouseAge      1    3.5668 46.310 -7804.0
+ Neighborhood  2    3.2859 46.591 -7787.6
+ TotalBath     1    2.3769 47.500 -7751.7
+ KitchenQual   1    1.9789 47.898 -7734.5
+ CentralAir    1    1.7394 48.138 -7724.2
+ PavedDrive    1    1.5693 48.308 -7716.9
+ BldgType      4    1.5987 48.278 -7706.5
+ HeatingQC     1    1.1106 48.766 -7697.5
+ LotArea       1    1.0204 48.857 -7693.6
+ GarageCars    1    0.7278 49.149 -7681.3
+ BsmtQual      1    0.4973 49.380 -7671.7
+ HasDeck       1    0.4583 49.419 -7670.1
+ PartialSale   1    0.2663 49.611 -7662.1
+ GarageQual    1    0.2472 49.630 -7661.3
+ BedroomAbvGr  1    0.1298 49.747 -7656.4
<none>                      49.877 -7654.9
+ MultStory     1    0.0731 49.804 -7654.0
+ NoPorch       1    0.0009 49.876 -7651.1
+ Heating       5    0.3177 49.559 -7648.6

Step:  AIC=-7804.02
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge

               Df Sum of Sq    RSS     AIC
+ BldgType      4   2.37179 43.939 -7896.8
+ KitchenQual   1   1.75905 44.551 -7880.0
+ LotArea       1   1.25032 45.060 -7856.5
+ TotalBath     1   1.07334 45.237 -7848.5
+ Neighborhood  2   1.15136 45.159 -7848.1
+ HeatingQC     1   0.91357 45.397 -7841.2
+ CentralAir    1   0.71172 45.599 -7832.0
+ MultStory     1   0.34852 45.962 -7815.7
+ PavedDrive    1   0.27682 46.034 -7812.5
+ HasDeck       1   0.19363 46.117 -7808.7
+ GarageCars    1   0.16479 46.146 -7807.5
+ PartialSale   1   0.15536 46.155 -7807.0
<none>                      46.310 -7804.0
+ NoPorch       1   0.07254 46.238 -7803.3
+ GarageQual    1   0.03514 46.275 -7801.7
+ BedroomAbvGr  1   0.02158 46.289 -7801.1
+ BsmtQual      1   0.00353 46.307 -7800.3
+ Heating       5   0.11737 46.193 -7789.7

Step:  AIC=-7896.78
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType

               Df Sum of Sq    RSS     AIC
+ TotalBath     1   1.85739 42.081 -7981.9
+ KitchenQual   1   1.51631 42.422 -7965.3
+ Neighborhood  2   1.10458 42.834 -7941.5
+ LotArea       1   0.80130 43.137 -7930.8
+ HeatingQC     1   0.61775 43.321 -7922.1
+ MultStory     1   0.54822 43.390 -7918.8
+ CentralAir    1   0.53616 43.402 -7918.2
+ PavedDrive    1   0.25089 43.688 -7904.7
+ HasDeck       1   0.12644 43.812 -7898.8
+ PartialSale   1   0.12376 43.815 -7898.7
+ GarageCars    1   0.11380 43.825 -7898.2
<none>                      43.939 -7896.8
+ BedroomAbvGr  1   0.02083 43.918 -7893.8
+ NoPorch       1   0.01274 43.926 -7893.5
+ BsmtQual      1   0.00017 43.938 -7892.9
+ GarageQual    1   0.00000 43.939 -7892.9
+ Heating       5   0.17652 43.762 -7885.5

Step:  AIC=-7981.93
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath

               Df Sum of Sq    RSS     AIC
+ KitchenQual   1   1.44824 40.633 -8050.2
+ Neighborhood  2   1.02970 41.051 -8025.2
+ CentralAir    1   0.70468 41.376 -8012.8
+ LotArea       1   0.66242 41.419 -8010.7
+ HeatingQC     1   0.55410 41.527 -8005.3
+ PavedDrive    1   0.36832 41.713 -7996.1
+ MultStory     1   0.18607 41.895 -7987.2
+ PartialSale   1   0.18014 41.901 -7986.9
+ GarageCars    1   0.09869 41.982 -7982.9
+ BedroomAbvGr  1   0.09655 41.985 -7982.7
<none>                      42.081 -7981.9
+ HasDeck       1   0.07403 42.007 -7981.6
+ GarageQual    1   0.01400 42.067 -7978.7
+ BsmtQual      1   0.00200 42.079 -7978.1
+ NoPorch       1   0.00003 42.081 -7978.0
+ Heating       5   0.15395 41.927 -7969.9

Step:  AIC=-8050.23
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual

               Df Sum of Sq    RSS     AIC
+ Neighborhood  2   0.99871 39.634 -8093.7
+ CentralAir    1   0.78110 39.852 -8086.3
+ LotArea       1   0.65280 39.980 -8079.7
+ PavedDrive    1   0.40912 40.224 -8067.2
+ HeatingQC     1   0.36722 40.266 -8065.0
+ MultStory     1   0.22762 40.405 -8057.9
+ PartialSale   1   0.17049 40.462 -8055.0
+ GarageCars    1   0.08074 40.552 -8050.4
<none>                      40.633 -8050.2
+ BedroomAbvGr  1   0.06320 40.570 -8049.5
+ HasDeck       1   0.04091 40.592 -8048.4
+ GarageQual    1   0.01430 40.619 -8047.0
+ NoPorch       1   0.00810 40.625 -8046.7
+ BsmtQual      1   0.00056 40.632 -8046.3
+ Heating       5   0.11151 40.521 -8036.3

Step:  AIC=-8093.72
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood

               Df Sum of Sq    RSS     AIC
+ CentralAir    1   0.94202 38.692 -8139.4
+ PavedDrive    1   0.52257 39.112 -8117.2
+ LotArea       1   0.47377 39.160 -8114.6
+ HeatingQC     1   0.28995 39.344 -8104.9
+ MultStory     1   0.22787 39.406 -8101.7
+ PartialSale   1   0.16476 39.469 -8098.4
<none>                      39.634 -8093.7
+ GarageCars    1   0.03608 39.598 -8091.7
+ BedroomAbvGr  1   0.02845 39.606 -8091.3
+ HasDeck       1   0.01906 39.615 -8090.8
+ BsmtQual      1   0.01763 39.617 -8090.7
+ GarageQual    1   0.01311 39.621 -8090.5
+ NoPorch       1   0.00687 39.627 -8090.2
+ Heating       5   0.12788 39.506 -8080.8

Step:  AIC=-8139.41
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood + 
    CentralAir

               Df Sum of Sq    RSS     AIC
+ LotArea       1   0.44543 38.247 -8159.4
+ PavedDrive    1   0.26902 38.423 -8149.9
+ MultStory     1   0.21559 38.477 -8147.0
+ PartialSale   1   0.19399 38.498 -8145.9
+ HeatingQC     1   0.14310 38.549 -8143.1
<none>                      38.692 -8139.4
+ GarageCars    1   0.04287 38.649 -8137.8
+ BedroomAbvGr  1   0.04217 38.650 -8137.7
+ BsmtQual      1   0.02551 38.667 -8136.9
+ HasDeck       1   0.01484 38.677 -8136.3
+ GarageQual    1   0.00296 38.689 -8135.7
+ NoPorch       1   0.00024 38.692 -8135.5
+ Heating       5   0.24029 38.452 -8132.7

Step:  AIC=-8159.37
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood + 
    CentralAir + LotArea

               Df Sum of Sq    RSS     AIC
+ PavedDrive    1  0.302503 37.944 -8171.8
+ MultStory     1  0.285815 37.961 -8170.9
+ PartialSale   1  0.194949 38.052 -8166.0
+ HeatingQC     1  0.176479 38.070 -8165.0
<none>                      38.247 -8159.4
+ GarageCars    1  0.041451 38.205 -8157.7
+ BedroomAbvGr  1  0.028546 38.218 -8157.0
+ HasDeck       1  0.017091 38.230 -8156.4
+ BsmtQual      1  0.012875 38.234 -8156.2
+ NoPorch       1  0.002774 38.244 -8155.6
+ GarageQual    1  0.002513 38.244 -8155.6
+ Heating       5  0.191865 38.055 -8150.2

Step:  AIC=-8171.83
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood + 
    CentralAir + LotArea + PavedDrive

               Df Sum of Sq    RSS     AIC
+ MultStory     1  0.290877 37.653 -8183.8
+ PartialSale   1  0.205584 37.739 -8179.1
+ HeatingQC     1  0.179094 37.765 -8177.7
<none>                      37.944 -8171.8
+ GarageCars    1  0.050179 37.894 -8170.6
+ BedroomAbvGr  1  0.029831 37.914 -8169.5
+ HasDeck       1  0.018471 37.926 -8168.9
+ GarageQual    1  0.015251 37.929 -8168.7
+ NoPorch       1  0.009867 37.934 -8168.5
+ BsmtQual      1  0.009664 37.935 -8168.4
+ Heating       5  0.171539 37.773 -8161.6

Step:  AIC=-8183.79
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood + 
    CentralAir + LotArea + PavedDrive + MultStory

               Df Sum of Sq    RSS     AIC
+ PartialSale   1  0.208145 37.445 -8191.3
+ HeatingQC     1  0.146948 37.506 -8187.9
+ BedroomAbvGr  1  0.141746 37.512 -8187.7
<none>                      37.653 -8183.8
+ GarageCars    1  0.042167 37.611 -8182.2
+ BsmtQual      1  0.019735 37.634 -8181.0
+ HasDeck       1  0.014458 37.639 -8180.7
+ GarageQual    1  0.013782 37.640 -8180.6
+ NoPorch       1  0.003986 37.649 -8180.1
+ Heating       5  0.174949 37.478 -8173.8

Step:  AIC=-8191.31
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood + 
    CentralAir + LotArea + PavedDrive + MultStory + PartialSale

               Df Sum of Sq    RSS     AIC
+ HeatingQC     1  0.145954 37.299 -8195.4
+ BedroomAbvGr  1  0.130681 37.315 -8194.6
<none>                      37.445 -8191.3
+ GarageCars    1  0.037445 37.408 -8189.5
+ BsmtQual      1  0.022964 37.422 -8188.7
+ HasDeck       1  0.019856 37.425 -8188.5
+ GarageQual    1  0.012466 37.433 -8188.1
+ NoPorch       1  0.003187 37.442 -8187.6
+ Heating       5  0.174486 37.271 -8181.4

Step:  AIC=-8195.45
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood + 
    CentralAir + LotArea + PavedDrive + MultStory + PartialSale + 
    HeatingQC

               Df Sum of Sq    RSS     AIC
+ BedroomAbvGr  1  0.132256 37.167 -8198.9
<none>                      37.299 -8195.4
+ GarageCars    1  0.040307 37.259 -8193.8
+ HasDeck       1  0.025446 37.274 -8192.9
+ BsmtQual      1  0.023385 37.276 -8192.8
+ GarageQual    1  0.006821 37.292 -8191.9
+ NoPorch       1  0.000895 37.298 -8191.6
+ Heating       5  0.189956 37.109 -8186.4

Step:  AIC=-8198.86
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood + 
    CentralAir + LotArea + PavedDrive + MultStory + PartialSale + 
    HeatingQC + BedroomAbvGr

             Df Sum of Sq    RSS     AIC
<none>                    37.167 -8198.9
+ BsmtQual    1  0.047398 37.120 -8197.6
+ HasDeck     1  0.021236 37.146 -8196.1
+ GarageCars  1  0.021112 37.146 -8196.1
+ GarageQual  1  0.016300 37.151 -8195.9
+ NoPorch     1  0.000133 37.167 -8195.0
+ Heating     5  0.190577 36.976 -8189.9
formula(fowardBICi)
SalePrice ~ TotalArea + ExterQual + RemodelAge + Fireplaces + 
    HouseAge + BldgType + TotalBath + KitchenQual + Neighborhood + 
    CentralAir + LotArea + PavedDrive + MultStory + PartialSale + 
    HeatingQC + BedroomAbvGr
vif(fowardBICi)
                 GVIF Df GVIF^(1/(2*Df))
TotalArea    2.883121  1        1.697976
ExterQual    2.742302  1        1.655990
RemodelAge   2.120684  1        1.456257
Fireplaces   1.412707  1        1.188574
HouseAge     3.271362  1        1.808691
BldgType     1.880645  4        1.082152
TotalBath    2.288014  1        1.512618
KitchenQual  2.449734  1        1.565163
Neighborhood 2.666982  2        1.277924
CentralAir   1.442343  1        1.200976
LotArea      1.218903  1        1.104040
PavedDrive   1.432314  1        1.196793
MultStory    1.334750  1        1.155314
PartialSale  1.082646  1        1.040503
HeatingQC    1.636337  1        1.279194
BedroomAbvGr 1.778761  1        1.333702
summary(fowardBICi)

Call:
lm(formula = SalePrice ~ TotalArea + ExterQual + RemodelAge + 
    Fireplaces + HouseAge + BldgType + TotalBath + KitchenQual + 
    Neighborhood + CentralAir + LotArea + PavedDrive + MultStory + 
    PartialSale + HeatingQC + BedroomAbvGr, data = df_i)

Residuals:
     Min       1Q   Median       3Q      Max 
-0.86975 -0.07512  0.00096  0.07995  0.64487 

Coefficients:
                     Estimate Std. Error t value Pr(>|t|)    
(Intercept)         6.668e+00  1.147e-01  58.123  < 2e-16 ***
TotalArea           5.884e-01  1.648e-02  35.696  < 2e-16 ***
ExterQual           7.077e-02  8.829e-03   8.016 1.82e-15 ***
RemodelAge         -1.524e-03  2.108e-04  -7.229 6.83e-13 ***
Fireplaces          7.651e-02  5.485e-03  13.948  < 2e-16 ***
HouseAge           -7.957e-04  1.819e-04  -4.374 1.28e-05 ***
BldgType2fmCon     -4.950e-02  2.163e-02  -2.289  0.02219 *  
BldgTypeDuplex     -9.710e-02  1.806e-02  -5.376 8.48e-08 ***
BldgTypeTwnhs      -1.296e-01  1.715e-02  -7.562 5.97e-14 ***
BldgTypeTwnhsE     -7.213e-02  1.266e-02  -5.699 1.38e-08 ***
TotalBath           5.059e-02  5.581e-03   9.065  < 2e-16 ***
KitchenQual         6.362e-02  7.359e-03   8.645  < 2e-16 ***
NeighborhoodTier_2 -2.530e-02  9.593e-03  -2.637  0.00842 ** 
NeighborhoodTier_3 -7.328e-02  1.136e-02  -6.449 1.40e-10 ***
CentralAirY         7.975e-02  1.443e-02   5.527 3.67e-08 ***
LotArea             2.156e-06  3.847e-07   5.604 2.38e-08 ***
PavedDrive          5.279e-02  1.251e-02   4.221 2.54e-05 ***
MultStory           3.071e-02  6.867e-03   4.473 8.15e-06 ***
PartialSale         6.188e-02  1.886e-02   3.281  0.00105 ** 
HeatingQC           1.126e-02  3.957e-03   2.846  0.00447 ** 
BedroomAbvGr       -1.298e-02  4.816e-03  -2.695  0.00710 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.1349 on 2041 degrees of freedom
Multiple R-squared:  0.8768,    Adjusted R-squared:  0.8756 
F-statistic: 726.6 on 20 and 2041 DF,  p-value: < 2.2e-16
plot(fowardBICi)

After Talk

df_at=read.csv('data/rdata_at.csv')
df_atl=read.csv('data/rdata_atl.csv')
# Creating a saturated model (i.e., with all variables included).
model.sat.at = lm(SalePrice ~ ., data = df_at)
model.sat.atl = lm(SalePrice ~ ., data = df_atl)
summary(model.sat.at)
summary(model.sat.atl)
vif(model.sat.atl)
                 GVIF Df GVIF^(1/(2*Df))
Neighborhood 2.693705  2        1.281113
BldgType     2.030232  4        1.092555
ExterQual    2.804795  1        1.674752
BsmtQual     2.900223  1        1.703004
HeatingQC    1.608419  1        1.268235
CentralAir   1.492502  1        1.221680
BedroomAbvGr 2.117407  1        1.455131
KitchenQual  2.337051  1        1.528742
Fireplaces   1.521622  1        1.233540
GarageQual   1.732197  1        1.316130
PavedDrive   1.456736  1        1.206953
HouseAge     3.443550  1        1.855680
TotalBath    2.393278  1        1.547022
MultStory    3.178932  1        1.782956
PartialSale  1.088881  1        1.043494
TotalBsmtSF  4.429491  1        2.104636
X1stFlrSF    4.395086  1        2.096446
X2ndFlrSF    4.579923  1        2.140075
GarageArea   2.450027  1        1.565256
WoodDeckSF   1.170846  1        1.082056
OpenPorchSF  1.174756  1        1.083862
model.empty.at = lm(SalePrice ~ 1, data = df_at) #The model with an intercept ONLY.
model.empty.atl = lm(SalePrice ~ 1, data = df_atl)

scope_at = list(lower = formula(model.empty.at), upper = formula(model.sat.at))
scope_atl = list(lower = formula(model.empty.atl), upper = formula(model.sat.atl))
forwardBIC_at = step(model.empty.at, scope_at, direction = "forward", k = log(50))
Start:  AIC=46192.58
SalePrice ~ 1

               Df  Sum of Sq        RSS   AIC
+ ExterQual     1 5.2306e+12 5.7964e+12 44870
+ KitchenQual   1 4.9018e+12 6.1252e+12 44984
+ TotalBsmtSF   1 4.6530e+12 6.3740e+12 45066
+ TotalBath     1 4.6127e+12 6.4143e+12 45079
+ GarageArea    1 4.5374e+12 6.4896e+12 45103
+ X1stFlrSF     1 4.5252e+12 6.5018e+12 45107
+ BsmtQual      1 3.7853e+12 7.2417e+12 45329
+ Neighborhood  2 3.5189e+12 7.5081e+12 45408
+ HouseAge      1 3.3123e+12 7.7147e+12 45460
+ Fireplaces    1 2.7448e+12 8.2822e+12 45606
+ HeatingQC     1 2.2650e+12 8.7621e+12 45722
+ WoodDeckSF    1 1.1513e+12 9.8757e+12 45969
+ OpenPorchSF   1 1.0067e+12 1.0020e+13 45999
+ CentralAir    1 7.9860e+11 1.0228e+13 46041
+ GarageQual    1 7.8665e+11 1.0240e+13 46044
+ PavedDrive    1 7.5717e+11 1.0270e+13 46050
+ X2ndFlrSF     1 6.7777e+11 1.0349e+13 46066
+ PartialSale   1 5.8129e+11 1.0446e+13 46085
+ BldgType      4 3.7419e+11 1.0653e+13 46137
+ BedroomAbvGr  1 2.4764e+11 1.0779e+13 46150
<none>                       1.1027e+13 46193
+ MultStory     1 3.8793e+09 1.1023e+13 46196

Step:  AIC=44870.42
SalePrice ~ ExterQual

               Df  Sum of Sq        RSS   AIC
+ X1stFlrSF     1 1.9340e+12 3.8624e+12 44037
+ TotalBsmtSF   1 1.6382e+12 4.1583e+12 44189
+ TotalBath     1 1.5217e+12 4.2748e+12 44246
+ GarageArea    1 1.4121e+12 4.3843e+12 44299
+ Fireplaces    1 1.3269e+12 4.4695e+12 44338
+ KitchenQual   1 7.2567e+11 5.0708e+12 44599
+ BsmtQual      1 6.9750e+11 5.0989e+12 44610
+ WoodDeckSF    1 4.2266e+11 5.3738e+12 44718
+ BedroomAbvGr  1 4.0572e+11 5.3907e+12 44725
+ Neighborhood  2 3.7797e+11 5.4185e+12 44739
+ HouseAge      1 3.4710e+11 5.4493e+12 44747
+ BldgType      4 3.0541e+11 5.4910e+12 44774
+ X2ndFlrSF     1 2.6504e+11 5.5314e+12 44778
+ PavedDrive    1 1.9138e+11 5.6051e+12 44805
+ OpenPorchSF   1 1.8835e+11 5.6081e+12 44806
+ GarageQual    1 1.8205e+11 5.6144e+12 44809
+ CentralAir    1 1.7389e+11 5.6225e+12 44812
+ HeatingQC     1 1.6408e+11 5.6324e+12 44815
+ PartialSale   1 6.0238e+10 5.7362e+12 44853
+ MultStory     1 1.7172e+10 5.7793e+12 44868
<none>                       5.7964e+12 44870

Step:  AIC=44037.25
SalePrice ~ ExterQual + X1stFlrSF

               Df  Sum of Sq        RSS   AIC
+ X2ndFlrSF     1 1.2081e+12 2.6543e+12 43268
+ TotalBath     1 8.1619e+11 3.0462e+12 43552
+ MultStory     1 6.8719e+11 3.1752e+12 43637
+ GarageArea    1 5.2562e+11 3.3368e+12 43740
+ BsmtQual      1 5.2117e+11 3.3412e+12 43742
+ Fireplaces    1 4.9032e+11 3.3721e+12 43761
+ KitchenQual   1 3.6149e+11 3.5009e+12 43839
+ Neighborhood  2 3.0827e+11 3.5541e+12 43874
+ HouseAge      1 2.1581e+11 3.6466e+12 43923
+ WoodDeckSF    1 1.9607e+11 3.6663e+12 43934
+ HeatingQC     1 1.7936e+11 3.6830e+12 43943
+ BedroomAbvGr  1 1.7418e+11 3.6882e+12 43946
+ TotalBsmtSF   1 1.3870e+11 3.7237e+12 43966
+ BldgType      4 1.4628e+11 3.7161e+12 43973
+ CentralAir    1 8.7604e+10 3.7748e+12 43994
+ OpenPorchSF   1 8.5292e+10 3.7771e+12 43995
+ GarageQual    1 8.1623e+10 3.7808e+12 43997
+ PavedDrive    1 7.7754e+10 3.7846e+12 43999
+ PartialSale   1 3.6056e+10 3.8263e+12 44022
<none>                       3.8624e+12 44037

Step:  AIC=43267.66
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF

               Df  Sum of Sq        RSS   AIC
+ BsmtQual      1 3.8947e+11 2.2648e+12 42944
+ Neighborhood  2 2.8467e+11 2.3696e+12 43042
+ HouseAge      1 2.7938e+11 2.3749e+12 43042
+ GarageArea    1 2.5344e+11 2.4008e+12 43065
+ TotalBsmtSF   1 2.4965e+11 2.4046e+12 43068
+ KitchenQual   1 2.1750e+11 2.4368e+12 43095
+ TotalBath     1 1.9601e+11 2.4583e+12 43113
+ BldgType      4 1.5916e+11 2.4951e+12 43156
+ Fireplaces    1 1.4357e+11 2.5107e+12 43157
+ BedroomAbvGr  1 1.2422e+11 2.5300e+12 43173
+ WoodDeckSF    1 9.0883e+10 2.5634e+12 43200
+ CentralAir    1 9.0697e+10 2.5636e+12 43200
+ PavedDrive    1 8.7025e+10 2.5672e+12 43203
+ HeatingQC     1 8.0140e+10 2.5741e+12 43208
+ GarageQual    1 6.3451e+10 2.5908e+12 43222
+ PartialSale   1 4.9419e+10 2.6048e+12 43233
<none>                       2.6543e+12 43268
+ OpenPorchSF   1 4.5569e+09 2.6497e+12 43268
+ MultStory     1 3.0017e+08 2.6540e+12 43271

Step:  AIC=42944.37
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual

               Df  Sum of Sq        RSS   AIC
+ GarageArea    1 1.6879e+11 2.0960e+12 42789
+ KitchenQual   1 1.4029e+11 2.1245e+12 42816
+ Neighborhood  2 1.1880e+11 2.1460e+12 42841
+ BldgType      4 1.1954e+11 2.1453e+12 42848
+ Fireplaces    1 1.0396e+11 2.1608e+12 42851
+ BedroomAbvGr  1 9.2291e+10 2.1725e+12 42862
+ HouseAge      1 8.2951e+10 2.1818e+12 42871
+ TotalBath     1 6.9678e+10 2.1951e+12 42884
+ WoodDeckSF    1 4.4325e+10 2.2205e+12 42908
+ GarageQual    1 3.7251e+10 2.2275e+12 42914
+ HeatingQC     1 3.5177e+10 2.2296e+12 42916
+ PartialSale   1 3.3525e+10 2.2313e+12 42918
+ TotalBsmtSF   1 3.2319e+10 2.2325e+12 42919
+ PavedDrive    1 2.7786e+10 2.2370e+12 42923
+ CentralAir    1 2.5458e+10 2.2393e+12 42925
<none>                       2.2648e+12 42944
+ MultStory     1 2.5200e+09 2.2623e+12 42946
+ OpenPorchSF   1 8.5951e+08 2.2639e+12 42947

Step:  AIC=42788.57
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea

               Df  Sum of Sq        RSS   AIC
+ KitchenQual   1 1.1341e+11 1.9826e+12 42678
+ Fireplaces    1 1.0206e+11 1.9939e+12 42690
+ BldgType      4 9.7951e+10 1.9981e+12 42706
+ BedroomAbvGr  1 7.8953e+10 2.0171e+12 42713
+ Neighborhood  2 7.6242e+10 2.0198e+12 42720
+ TotalBath     1 4.7129e+10 2.0489e+12 42746
+ HouseAge      1 4.1541e+10 2.0545e+12 42751
+ WoodDeckSF    1 3.0062e+10 2.0659e+12 42763
+ TotalBsmtSF   1 2.9957e+10 2.0660e+12 42763
+ HeatingQC     1 2.9637e+10 2.0664e+12 42763
+ PartialSale   1 2.4661e+10 2.0713e+12 42768
+ PavedDrive    1 1.3023e+10 2.0830e+12 42780
+ CentralAir    1 1.0335e+10 2.0857e+12 42782
<none>                       2.0960e+12 42789
+ MultStory     1 2.1495e+09 2.0939e+12 42790
+ OpenPorchSF   1 1.0826e+09 2.0949e+12 42791
+ GarageQual    1 7.4830e+08 2.0953e+12 42792

Step:  AIC=42677.78
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual

               Df  Sum of Sq        RSS   AIC
+ Fireplaces    1 1.0518e+11 1.8774e+12 42569
+ BldgType      4 8.2351e+10 1.9002e+12 42606
+ BedroomAbvGr  1 6.6268e+10 1.9163e+12 42612
+ Neighborhood  2 5.8995e+10 1.9236e+12 42623
+ TotalBath     1 3.9682e+10 1.9429e+12 42640
+ TotalBsmtSF   1 3.7973e+10 1.9446e+12 42642
+ HouseAge      1 2.7845e+10 1.9547e+12 42653
+ WoodDeckSF    1 2.4860e+10 1.9577e+12 42656
+ PartialSale   1 2.2517e+10 1.9601e+12 42658
+ PavedDrive    1 1.1918e+10 1.9707e+12 42669
+ HeatingQC     1 1.0527e+10 1.9721e+12 42671
+ CentralAir    1 7.8461e+09 1.9747e+12 42674
<none>                       1.9826e+12 42678
+ MultStory     1 1.2657e+09 1.9813e+12 42680
+ GarageQual    1 9.2171e+08 1.9817e+12 42681
+ OpenPorchSF   1 3.3100e+08 1.9823e+12 42681

Step:  AIC=42569.29
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces

               Df  Sum of Sq        RSS   AIC
+ Neighborhood  2 5.6246e+10 1.8212e+12 42514
+ BldgType      4 6.0647e+10 1.8168e+12 42517
+ TotalBsmtSF   1 4.3591e+10 1.8338e+12 42525
+ BedroomAbvGr  1 4.0373e+10 1.8370e+12 42528
+ TotalBath     1 3.5401e+10 1.8420e+12 42534
+ HouseAge      1 2.9888e+10 1.8475e+12 42540
+ PartialSale   1 2.7351e+10 1.8501e+12 42543
+ WoodDeckSF    1 1.5697e+10 1.8617e+12 42556
+ HeatingQC     1 1.1249e+10 1.8662e+12 42561
+ PavedDrive    1 7.8402e+09 1.8696e+12 42565
+ GarageQual    1 6.4703e+09 1.8709e+12 42566
+ CentralAir    1 3.8657e+09 1.8735e+12 42569
<none>                       1.8774e+12 42569
+ MultStory     1 3.0851e+09 1.8743e+12 42570
+ OpenPorchSF   1 3.5709e+08 1.8771e+12 42573

Step:  AIC=42514.39
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood

               Df  Sum of Sq        RSS   AIC
+ BldgType      4 7.3724e+10 1.7474e+12 42445
+ TotalBsmtSF   1 5.2458e+10 1.7687e+12 42458
+ BedroomAbvGr  1 3.5311e+10 1.7859e+12 42478
+ PartialSale   1 2.4054e+10 1.7971e+12 42491
+ TotalBath     1 2.2363e+10 1.7988e+12 42493
+ WoodDeckSF    1 1.2765e+10 1.8084e+12 42504
+ HouseAge      1 6.8676e+09 1.8143e+12 42511
+ HeatingQC     1 5.5174e+09 1.8156e+12 42512
+ PavedDrive    1 5.4651e+09 1.8157e+12 42512
+ GarageQual    1 5.3265e+09 1.8158e+12 42512
+ CentralAir    1 3.8979e+09 1.8173e+12 42514
<none>                       1.8212e+12 42514
+ MultStory     1 1.2641e+09 1.8199e+12 42517
+ OpenPorchSF   1 4.3113e+08 1.8207e+12 42518

Step:  AIC=42444.83
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType

               Df  Sum of Sq        RSS   AIC
+ TotalBsmtSF   1 4.8149e+10 1.6993e+12 42391
+ TotalBath     1 4.5590e+10 1.7019e+12 42394
+ BedroomAbvGr  1 4.5436e+10 1.7020e+12 42394
+ PartialSale   1 2.3312e+10 1.7241e+12 42421
+ HouseAge      1 1.7520e+10 1.7299e+12 42428
+ WoodDeckSF    1 9.8666e+09 1.7376e+12 42437
+ GarageQual    1 8.9807e+09 1.7385e+12 42438
+ PavedDrive    1 7.2455e+09 1.7402e+12 42440
<none>                       1.7474e+12 42445
+ CentralAir    1 2.3256e+09 1.7451e+12 42446
+ HeatingQC     1 2.0869e+09 1.7454e+12 42446
+ MultStory     1 6.7455e+08 1.7468e+12 42448
+ OpenPorchSF   1 2.6979e+07 1.7474e+12 42449

Step:  AIC=42391.13
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF

               Df  Sum of Sq        RSS   AIC
+ BedroomAbvGr  1 5.8752e+10 1.6405e+12 42322
+ TotalBath     1 4.2200e+10 1.6571e+12 42343
+ PartialSale   1 2.4477e+10 1.6748e+12 42365
+ HouseAge      1 2.1626e+10 1.6777e+12 42369
+ WoodDeckSF    1 1.0785e+10 1.6885e+12 42382
+ GarageQual    1 8.6654e+09 1.6906e+12 42384
+ PavedDrive    1 5.9565e+09 1.6933e+12 42388
<none>                       1.6993e+12 42391
+ HeatingQC     1 2.5424e+09 1.6967e+12 42392
+ CentralAir    1 1.8350e+09 1.6975e+12 42393
+ MultStory     1 2.5101e+07 1.6993e+12 42395
+ OpenPorchSF   1 2.3427e+06 1.6993e+12 42395

Step:  AIC=42322.49
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr

              Df  Sum of Sq        RSS   AIC
+ TotalBath    1 4.3899e+10 1.5966e+12 42270
+ HouseAge     1 3.1665e+10 1.6089e+12 42286
+ PartialSale  1 2.2771e+10 1.6178e+12 42298
+ PavedDrive   1 1.1893e+10 1.6286e+12 42311
+ WoodDeckSF   1 9.4871e+09 1.6311e+12 42314
+ CentralAir   1 6.9299e+09 1.6336e+12 42318
+ GarageQual   1 6.5413e+09 1.6340e+12 42318
<none>                      1.6405e+12 42322
+ HeatingQC    1 2.6001e+09 1.6379e+12 42323
+ OpenPorchSF  1 8.4843e+07 1.6405e+12 42326
+ MultStory    1 1.1934e+07 1.6405e+12 42326

Step:  AIC=42270.47
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr + TotalBath

              Df  Sum of Sq        RSS   AIC
+ PartialSale  1 2.4852e+10 1.5718e+12 42242
+ HouseAge     1 1.4768e+10 1.5819e+12 42255
+ PavedDrive   1 8.9547e+09 1.5877e+12 42263
+ GarageQual   1 6.1056e+09 1.5905e+12 42266
+ WoodDeckSF   1 5.7341e+09 1.5909e+12 42267
+ CentralAir   1 5.3747e+09 1.5913e+12 42267
<none>                      1.5966e+12 42270
+ HeatingQC    1 1.7448e+09 1.5949e+12 42272
+ OpenPorchSF  1 7.5040e+08 1.5959e+12 42273
+ MultStory    1 2.6012e+06 1.5966e+12 42274

Step:  AIC=42242.04
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr + TotalBath + PartialSale

              Df  Sum of Sq        RSS   AIC
+ HouseAge     1 1.2619e+10 1.5592e+12 42229
+ PavedDrive   1 9.1468e+09 1.5626e+12 42234
+ WoodDeckSF   1 6.7902e+09 1.5650e+12 42237
+ CentralAir   1 5.8008e+09 1.5660e+12 42238
+ GarageQual   1 5.1420e+09 1.5666e+12 42239
<none>                      1.5718e+12 42242
+ HeatingQC    1 1.6046e+09 1.5702e+12 42244
+ OpenPorchSF  1 1.1164e+09 1.5707e+12 42244
+ MultStory    1 3.1512e+06 1.5718e+12 42246

Step:  AIC=42229.33
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr + TotalBath + PartialSale + HouseAge

              Df  Sum of Sq        RSS   AIC
+ WoodDeckSF   1 6553776193 1.5526e+12 42225
+ GarageQual   1 6370488446 1.5528e+12 42225
+ PavedDrive   1 3733489828 1.5554e+12 42228
<none>                      1.5592e+12 42229
+ CentralAir   1 2875513009 1.5563e+12 42229
+ OpenPorchSF  1 1263349302 1.5579e+12 42232
+ HeatingQC    1 1052762497 1.5581e+12 42232
+ MultStory    1  187465183 1.5590e+12 42233

Step:  AIC=42224.55
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr + TotalBath + PartialSale + HouseAge + WoodDeckSF

              Df  Sum of Sq        RSS   AIC
+ GarageQual   1 6259533313 1.5464e+12 42220
+ PavedDrive   1 3726507386 1.5489e+12 42224
<none>                      1.5526e+12 42225
+ CentralAir   1 2711646494 1.5499e+12 42225
+ HeatingQC    1 1296952807 1.5513e+12 42227
+ OpenPorchSF  1  815072503 1.5518e+12 42227
+ MultStory    1  127779970 1.5525e+12 42228

Step:  AIC=42220.14
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr + TotalBath + PartialSale + HouseAge + WoodDeckSF + 
    GarageQual

              Df  Sum of Sq        RSS   AIC
+ PavedDrive   1 6175720468 1.5402e+12 42216
+ CentralAir   1 4683820476 1.5417e+12 42218
<none>                      1.5464e+12 42220
+ HeatingQC    1 1101409862 1.5453e+12 42223
+ OpenPorchSF  1 1076005042 1.5453e+12 42223
+ MultStory    1   93481225 1.5463e+12 42224

Step:  AIC=42215.8
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr + TotalBath + PartialSale + HouseAge + WoodDeckSF + 
    GarageQual + PavedDrive

              Df  Sum of Sq        RSS   AIC
+ CentralAir   1 2920873223 1.5373e+12 42216
<none>                      1.5402e+12 42216
+ OpenPorchSF  1  897495334 1.5393e+12 42219
+ HeatingQC    1  877806209 1.5393e+12 42219
+ MultStory    1   34942041 1.5401e+12 42220

Step:  AIC=42215.79
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr + TotalBath + PartialSale + HouseAge + WoodDeckSF + 
    GarageQual + PavedDrive + CentralAir

              Df Sum of Sq        RSS   AIC
<none>                     1.5373e+12 42216
+ OpenPorchSF  1 762139234 1.5365e+12 42219
+ HeatingQC    1 366516111 1.5369e+12 42219
+ MultStory    1   9394786 1.5373e+12 42220
formula(forwardBIC_at)
SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + GarageArea + 
    KitchenQual + Fireplaces + Neighborhood + BldgType + TotalBsmtSF + 
    BedroomAbvGr + TotalBath + PartialSale + HouseAge + WoodDeckSF + 
    GarageQual + PavedDrive + CentralAir
forwardBIC_atl = step(model.empty.atl, scope_atl, direction = "forward", k = log(50))
Start:  AIC=-3958.6
SalePrice ~ 1

               Df Sum of Sq    RSS     AIC
+ TotalBath     1   137.635 164.16 -5210.3
+ ExterQual     1   134.529 167.27 -5171.6
+ KitchenQual   1   131.334 170.46 -5132.6
+ GarageArea    1   128.800 173.00 -5102.2
+ TotalBsmtSF   1   123.884 177.91 -5044.4
+ X1stFlrSF     1   117.153 184.64 -4967.8
+ BsmtQual      1   113.541 188.25 -4927.9
+ HouseAge      1   107.200 194.59 -4859.6
+ Neighborhood  2   104.958 196.84 -4832.0
+ Fireplaces    1    78.865 222.93 -4579.3
+ HeatingQC     1    72.166 229.63 -4518.2
+ CentralAir    1    41.460 260.33 -4259.4
+ GarageQual    1    34.784 267.01 -4207.2
+ PavedDrive    1    34.575 267.22 -4205.6
+ WoodDeckSF    1    32.453 269.34 -4189.3
+ OpenPorchSF   1    27.698 274.10 -4153.2
+ X2ndFlrSF     1    21.631 280.16 -4108.0
+ PartialSale   1    12.357 289.44 -4040.9
+ BedroomAbvGr  1    12.162 289.63 -4039.5
+ BldgType      4    11.900 289.89 -4025.9
+ MultStory     1     0.696 301.10 -3959.4
<none>                      301.80 -3958.6

Step:  AIC=-5210.26
SalePrice ~ TotalBath

               Df Sum of Sq    RSS     AIC
+ ExterQual     1    48.759 115.40 -5933.1
+ KitchenQual   1    48.359 115.80 -5925.9
+ TotalBsmtSF   1    47.619 116.54 -5912.8
+ X1stFlrSF     1    47.079 117.08 -5903.3
+ GarageArea    1    45.101 119.06 -5868.7
+ BsmtQual      1    31.581 132.58 -5646.9
+ Neighborhood  2    30.387 133.77 -5624.5
+ Fireplaces    1    27.037 137.12 -5577.4
+ HeatingQC     1    23.276 140.88 -5521.6
+ HouseAge      1    22.527 141.63 -5510.7
+ BldgType      4    18.740 145.42 -5444.6
+ CentralAir    1    17.144 147.02 -5433.8
+ GarageQual    1    15.503 148.66 -5410.9
+ PavedDrive    1    10.843 153.32 -5347.2
+ WoodDeckSF    1     6.141 158.02 -5285.0
+ PartialSale   1     5.395 158.76 -5275.3
+ OpenPorchSF   1     4.437 159.72 -5262.8
+ MultStory     1     1.247 162.91 -5222.1
+ X2ndFlrSF     1     0.375 163.78 -5211.1
+ BedroomAbvGr  1     0.366 163.79 -5210.9
<none>                      164.16 -5210.3

Step:  AIC=-5933.05
SalePrice ~ TotalBath + ExterQual

               Df Sum of Sq     RSS     AIC
+ X1stFlrSF     1   29.2289  86.172 -6531.4
+ TotalBsmtSF   1   24.8065  90.594 -6428.2
+ GarageArea    1   21.6793  93.722 -6358.2
+ Fireplaces    1   20.8431  94.558 -6339.9
+ BldgType      4   11.8192 103.582 -6140.2
+ KitchenQual   1   10.9471 104.454 -6134.7
+ CentralAir    1   10.3345 105.066 -6122.6
+ BsmtQual      1    9.0722 106.329 -6098.0
+ GarageQual    1    8.7744 106.626 -6092.2
+ PavedDrive    1    6.7411 108.660 -6053.3
+ Neighborhood  2    5.5687 109.832 -6027.2
+ HeatingQC     1    4.3766 111.024 -6008.9
+ BedroomAbvGr  1    4.2517 111.149 -6006.5
+ WoodDeckSF    1    3.9693 111.432 -6001.3
+ HouseAge      1    3.1632 112.238 -5986.4
+ OpenPorchSF   1    1.1438 114.257 -5949.7
+ PartialSale   1    0.8207 114.580 -5943.9
+ X2ndFlrSF     1    0.6479 114.753 -5940.7
<none>                      115.401 -5933.1
+ MultStory     1    0.0749 115.326 -5930.5

Step:  AIC=-6531.38
SalePrice ~ TotalBath + ExterQual + X1stFlrSF

               Df Sum of Sq    RSS     AIC
+ X2ndFlrSF     1   15.8321 70.340 -6946.1
+ GarageArea    1    9.6551 76.517 -6772.5
+ Fireplaces    1    9.2353 76.937 -6761.2
+ BsmtQual      1    9.0933 77.079 -6757.4
+ MultStory     1    8.8941 77.278 -6752.1
+ CentralAir    1    8.4232 77.749 -6739.6
+ BldgType      4    8.2514 77.921 -6723.3
+ KitchenQual   1    6.5095 79.662 -6689.4
+ GarageQual    1    6.3773 79.795 -6686.0
+ Neighborhood  2    6.4029 79.769 -6682.8
+ HeatingQC     1    5.6160 80.556 -6666.4
+ PavedDrive    1    4.7688 81.403 -6644.9
+ HouseAge      1    3.3264 82.846 -6608.6
+ BedroomAbvGr  1    2.5268 83.645 -6588.8
+ TotalBsmtSF   1    2.4371 83.735 -6586.6
+ WoodDeckSF    1    2.1211 84.051 -6578.9
+ OpenPorchSF   1    0.5718 85.600 -6541.2
+ PartialSale   1    0.4595 85.713 -6538.5
<none>                      86.172 -6531.4

Step:  AIC=-6946.07
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF

               Df Sum of Sq    RSS     AIC
+ BsmtQual      1   10.7537 59.586 -7284.3
+ CentralAir    1    9.8914 60.449 -7254.6
+ HouseAge      1    9.3375 61.002 -7235.8
+ Neighborhood  2    8.7912 61.549 -7213.5
+ BldgType      4    7.6861 62.654 -7169.0
+ GarageArea    1    7.0405 63.299 -7159.6
+ PavedDrive    1    6.4828 63.857 -7141.5
+ GarageQual    1    6.3672 63.973 -7137.8
+ TotalBsmtSF   1    5.4969 64.843 -7109.9
+ KitchenQual   1    5.3247 65.015 -7104.5
+ Fireplaces    1    4.4337 65.906 -7076.4
+ HeatingQC     1    4.3712 65.969 -7074.4
+ WoodDeckSF    1    1.6138 68.726 -6990.0
+ BedroomAbvGr  1    0.8415 69.498 -6967.0
+ PartialSale   1    0.6101 69.730 -6960.1
<none>                      70.340 -6946.1
+ OpenPorchSF   1    0.0288 70.311 -6943.0
+ MultStory     1    0.0258 70.314 -6942.9

Step:  AIC=-7284.27
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual

               Df Sum of Sq    RSS     AIC
+ CentralAir    1    6.3244 53.262 -7511.7
+ GarageArea    1    5.2553 54.331 -7470.7
+ GarageQual    1    5.1142 54.472 -7465.4
+ BldgType      4    5.3186 54.268 -7461.4
+ Neighborhood  2    4.6532 54.933 -7444.1
+ HouseAge      1    4.2132 55.373 -7431.6
+ PavedDrive    1    4.0385 55.548 -7425.1
+ KitchenQual   1    3.6227 55.964 -7409.7
+ Fireplaces    1    3.4434 56.143 -7403.1
+ HeatingQC     1    2.7722 56.814 -7378.6
+ WoodDeckSF    1    0.8396 58.747 -7309.6
+ TotalBsmtSF   1    0.4617 59.125 -7296.4
+ BedroomAbvGr  1    0.4388 59.147 -7295.6
+ PartialSale   1    0.3176 59.269 -7291.4
<none>                      59.586 -7284.3
+ OpenPorchSF   1    0.0018 59.584 -7280.4
+ MultStory     1    0.0000 59.586 -7280.4

Step:  AIC=-7511.72
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir

               Df Sum of Sq    RSS     AIC
+ Neighborhood  2    4.2989 48.963 -7677.4
+ GarageArea    1    3.8520 49.410 -7662.6
+ BldgType      4    4.0766 49.185 -7660.3
+ KitchenQual   1    3.1755 50.086 -7634.6
+ Fireplaces    1    2.7545 50.507 -7617.3
+ GarageQual    1    2.5909 50.671 -7610.6
+ HouseAge      1    2.1555 51.106 -7593.0
+ PavedDrive    1    1.5490 51.713 -7568.7
+ HeatingQC     1    1.3928 51.869 -7562.4
+ BedroomAbvGr  1    0.7890 52.473 -7538.6
+ WoodDeckSF    1    0.6416 52.620 -7532.8
+ TotalBsmtSF   1    0.4579 52.804 -7525.6
+ PartialSale   1    0.3846 52.877 -7522.8
<none>                      53.262 -7511.7
+ OpenPorchSF   1    0.0314 53.231 -7509.0
+ MultStory     1    0.0027 53.259 -7507.9

Step:  AIC=-7677.43
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood

               Df Sum of Sq    RSS     AIC
+ BldgType      4    4.1617 44.801 -7844.9
+ GarageArea    1    2.8038 46.159 -7795.1
+ Fireplaces    1    2.6602 46.303 -7788.7
+ KitchenQual   1    2.5259 46.437 -7782.7
+ GarageQual    1    2.1688 46.794 -7766.9
+ PavedDrive    1    1.2188 47.744 -7725.5
+ HeatingQC     1    0.8028 48.160 -7707.6
+ TotalBsmtSF   1    0.7866 48.176 -7706.9
+ BedroomAbvGr  1    0.5417 48.421 -7696.5
+ WoodDeckSF    1    0.4550 48.508 -7692.8
+ HouseAge      1    0.4426 48.520 -7692.2
+ PartialSale   1    0.2689 48.694 -7684.9
<none>                      48.963 -7677.4
+ OpenPorchSF   1    0.0519 48.911 -7675.7
+ MultStory     1    0.0163 48.947 -7674.2

Step:  AIC=-7844.94
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType

               Df Sum of Sq    RSS     AIC
+ GarageArea    1   2.17740 42.624 -7943.8
+ KitchenQual   1   1.98733 42.814 -7934.6
+ Fireplaces    1   1.92512 42.876 -7931.6
+ GarageQual    1   1.52859 43.273 -7912.6
+ PavedDrive    1   1.42142 43.380 -7907.5
+ HouseAge      1   0.90812 43.893 -7883.3
+ TotalBsmtSF   1   0.71972 44.082 -7874.4
+ BedroomAbvGr  1   0.50138 44.300 -7864.2
+ HeatingQC     1   0.41674 44.385 -7860.3
+ PartialSale   1   0.24232 44.559 -7852.2
+ WoodDeckSF    1   0.23355 44.568 -7851.8
<none>                      44.801 -7844.9
+ MultStory     1   0.04761 44.754 -7843.2
+ OpenPorchSF   1   0.00267 44.799 -7841.2

Step:  AIC=-7943.76
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea

               Df Sum of Sq    RSS     AIC
+ Fireplaces    1   1.95547 40.668 -8036.7
+ KitchenQual   1   1.75582 40.868 -8026.6
+ PavedDrive    1   1.16766 41.456 -7997.1
+ TotalBsmtSF   1   0.68045 41.943 -7973.0
+ HouseAge      1   0.59643 42.027 -7968.9
+ HeatingQC     1   0.48530 42.139 -7963.5
+ BedroomAbvGr  1   0.34455 42.279 -7956.6
+ GarageQual    1   0.30372 42.320 -7954.6
+ PartialSale   1   0.16528 42.459 -7947.9
+ WoodDeckSF    1   0.15421 42.470 -7947.3
<none>                      42.624 -7943.8
+ MultStory     1   0.04538 42.579 -7942.0
+ OpenPorchSF   1   0.00543 42.618 -7940.1

Step:  AIC=-8036.69
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces

               Df Sum of Sq    RSS     AIC
+ KitchenQual   1   1.88476 38.784 -8130.6
+ PavedDrive    1   1.06948 39.599 -8087.7
+ HouseAge      1   0.73145 39.937 -8070.2
+ TotalBsmtSF   1   0.72402 39.944 -8069.8
+ HeatingQC     1   0.58261 40.086 -8062.5
+ PartialSale   1   0.20723 40.461 -8043.3
+ GarageQual    1   0.17521 40.493 -8041.7
+ BedroomAbvGr  1   0.14254 40.526 -8040.0
+ WoodDeckSF    1   0.08640 40.582 -8037.2
<none>                      40.668 -8036.7
+ MultStory     1   0.01320 40.655 -8033.4
+ OpenPorchSF   1   0.00842 40.660 -8033.2

Step:  AIC=-8130.62
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual

               Df Sum of Sq    RSS     AIC
+ PavedDrive    1   1.08568 37.698 -8185.3
+ TotalBsmtSF   1   0.85877 37.925 -8172.9
+ HouseAge      1   0.58732 38.196 -8158.2
+ HeatingQC     1   0.27026 38.513 -8141.1
+ PartialSale   1   0.19105 38.593 -8136.9
+ GarageQual    1   0.18732 38.596 -8136.7
+ BedroomAbvGr  1   0.09733 38.686 -8131.9
<none>                      38.784 -8130.6
+ WoodDeckSF    1   0.06190 38.722 -8130.0
+ MultStory     1   0.01806 38.766 -8127.7
+ OpenPorchSF   1   0.00266 38.781 -8126.9

Step:  AIC=-8185.26
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive

               Df Sum of Sq    RSS     AIC
+ TotalBsmtSF   1   0.80554 36.892 -8225.9
+ HeatingQC     1   0.27281 37.425 -8196.3
+ HouseAge      1   0.22651 37.471 -8193.8
+ PartialSale   1   0.19420 37.504 -8192.0
+ BedroomAbvGr  1   0.16319 37.535 -8190.3
<none>                      37.698 -8185.3
+ GarageQual    1   0.06901 37.629 -8185.1
+ WoodDeckSF    1   0.06419 37.634 -8184.9
+ MultStory     1   0.02102 37.677 -8182.5
+ OpenPorchSF   1   0.00602 37.692 -8181.7

Step:  AIC=-8225.89
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF

               Df Sum of Sq    RSS     AIC
+ HouseAge      1   0.32371 36.569 -8240.1
+ HeatingQC     1   0.30023 36.592 -8238.8
+ BedroomAbvGr  1   0.26554 36.627 -8236.9
+ PartialSale   1   0.20653 36.686 -8233.5
+ GarageQual    1   0.07735 36.815 -8226.3
+ WoodDeckSF    1   0.07602 36.816 -8226.2
+ MultStory     1   0.07558 36.817 -8226.2
<none>                      36.892 -8225.9
+ OpenPorchSF   1   0.00404 36.888 -8222.2

Step:  AIC=-8240.15
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF + HouseAge

               Df Sum of Sq    RSS     AIC
+ BedroomAbvGr  1  0.307934 36.261 -8253.7
+ HeatingQC     1  0.284381 36.284 -8252.3
+ PartialSale   1  0.174170 36.395 -8246.1
+ MultStory     1  0.119103 36.450 -8243.0
+ GarageQual    1  0.085207 36.484 -8241.0
+ WoodDeckSF    1  0.074680 36.494 -8240.4
<none>                      36.569 -8240.1
+ OpenPorchSF   1  0.001668 36.567 -8236.3

Step:  AIC=-8253.67
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF + HouseAge + BedroomAbvGr

              Df Sum of Sq    RSS     AIC
+ HeatingQC    1  0.265037 35.996 -8264.9
+ PartialSale  1  0.163425 36.097 -8259.1
+ MultStory    1  0.117851 36.143 -8256.5
+ GarageQual   1  0.087138 36.174 -8254.7
<none>                     36.261 -8253.7
+ WoodDeckSF   1  0.065340 36.195 -8253.5
+ OpenPorchSF  1  0.000411 36.260 -8249.8

Step:  AIC=-8264.89
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF + HouseAge + BedroomAbvGr + 
    HeatingQC

              Df Sum of Sq    RSS     AIC
+ PartialSale  1  0.158100 35.838 -8270.1
+ MultStory    1  0.127067 35.869 -8268.3
+ GarageQual   1  0.112308 35.883 -8267.4
+ WoodDeckSF   1  0.079013 35.917 -8265.5
<none>                     35.996 -8264.9
+ OpenPorchSF  1  0.000003 35.996 -8261.0

Step:  AIC=-8270.05
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF + HouseAge + BedroomAbvGr + 
    HeatingQC + PartialSale

              Df Sum of Sq    RSS     AIC
+ MultStory    1  0.124801 35.713 -8273.3
+ GarageQual   1  0.122325 35.715 -8273.2
+ WoodDeckSF   1  0.088711 35.749 -8271.2
<none>                     35.838 -8270.1
+ OpenPorchSF  1  0.000135 35.838 -8266.1

Step:  AIC=-8273.33
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF + HouseAge + BedroomAbvGr + 
    HeatingQC + PartialSale + MultStory

              Df Sum of Sq    RSS     AIC
+ GarageQual   1   0.13263 35.580 -8277.1
+ WoodDeckSF   1   0.08309 35.630 -8274.2
<none>                     35.713 -8273.3
+ OpenPorchSF  1   0.00000 35.713 -8269.4

Step:  AIC=-8277.09
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF + HouseAge + BedroomAbvGr + 
    HeatingQC + PartialSale + MultStory + GarageQual

              Df Sum of Sq    RSS     AIC
+ WoodDeckSF   1  0.086230 35.494 -8278.2
<none>                     35.580 -8277.1
+ OpenPorchSF  1  0.000164 35.580 -8273.2

Step:  AIC=-8278.18
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF + HouseAge + BedroomAbvGr + 
    HeatingQC + PartialSale + MultStory + GarageQual + WoodDeckSF

              Df Sum of Sq    RSS     AIC
<none>                     35.494 -8278.2
+ OpenPorchSF  1 0.0014389 35.493 -8274.4
formula(forwardBIC_atl)
SalePrice ~ TotalBath + ExterQual + X1stFlrSF + X2ndFlrSF + BsmtQual + 
    CentralAir + Neighborhood + BldgType + GarageArea + Fireplaces + 
    KitchenQual + PavedDrive + TotalBsmtSF + HouseAge + BedroomAbvGr + 
    HeatingQC + PartialSale + MultStory + GarageQual + WoodDeckSF
summary(forwardBIC_at)

Call:
lm(formula = SalePrice ~ ExterQual + X1stFlrSF + X2ndFlrSF + 
    BsmtQual + GarageArea + KitchenQual + Fireplaces + Neighborhood + 
    BldgType + TotalBsmtSF + BedroomAbvGr + TotalBath + PartialSale + 
    HouseAge + WoodDeckSF + GarageQual + PavedDrive + CentralAir, 
    data = df_at)

Residuals:
    Min      1Q  Median      3Q     Max 
-106351  -15331    -556   14830  230189 

Coefficients:
                     Estimate Std. Error t value Pr(>|t|)    
(Intercept)        -67494.349   8706.715  -7.752 1.42e-14 ***
ExterQual           18099.167   1799.818  10.056  < 2e-16 ***
X1stFlrSF              70.303      3.343  21.033  < 2e-16 ***
X2ndFlrSF              60.062      2.485  24.172  < 2e-16 ***
BsmtQual             3336.400   1160.448   2.875 0.004081 ** 
GarageArea             38.697      4.610   8.394  < 2e-16 ***
KitchenQual         13865.282   1438.268   9.640  < 2e-16 ***
Fireplaces          10088.230   1155.588   8.730  < 2e-16 ***
NeighborhoodTier_2  -6692.444   1956.149  -3.421 0.000636 ***
NeighborhoodTier_3 -13765.771   2289.013  -6.014 2.14e-09 ***
BldgType2fmCon     -10611.135   4405.896  -2.408 0.016111 *  
BldgTypeDuplex     -23435.992   3789.035  -6.185 7.47e-10 ***
BldgTypeTwnhs      -20639.734   3456.583  -5.971 2.77e-09 ***
BldgTypeTwnhsE     -20349.197   2571.158  -7.914 4.04e-15 ***
TotalBsmtSF            27.214      3.021   9.008  < 2e-16 ***
BedroomAbvGr       -10052.761   1067.678  -9.416  < 2e-16 ***
TotalBath            6852.754   1155.945   5.928 3.59e-09 ***
PartialSale         21390.435   3846.721   5.561 3.04e-08 ***
HouseAge             -104.253     37.671  -2.767 0.005701 ** 
WoodDeckSF             14.371      5.001   2.874 0.004099 ** 
GarageQual          -4196.211   1146.940  -3.659 0.000260 ***
PavedDrive           6202.294   2563.667   2.419 0.015637 *  
CentralAirY          5742.306   2917.394   1.968 0.049169 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 27460 on 2039 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared:  0.8606,    Adjusted R-squared:  0.8591 
F-statistic: 572.1 on 22 and 2039 DF,  p-value: < 2.2e-16
summary(forwardBIC_atl)

Call:
lm(formula = SalePrice ~ TotalBath + ExterQual + X1stFlrSF + 
    X2ndFlrSF + BsmtQual + CentralAir + Neighborhood + BldgType + 
    GarageArea + Fireplaces + KitchenQual + PavedDrive + TotalBsmtSF + 
    HouseAge + BedroomAbvGr + HeatingQC + PartialSale + MultStory + 
    GarageQual + WoodDeckSF, data = df_atl)

Residuals:
     Min       1Q   Median       3Q      Max 
-0.84132 -0.06783  0.00441  0.07935  0.54295 

Coefficients:
                     Estimate Std. Error t value Pr(>|t|)    
(Intercept)         1.056e+01  4.242e-02 248.956  < 2e-16 ***
TotalBath           4.329e-02  5.564e-03   7.781 1.14e-14 ***
ExterQual           5.523e-02  8.731e-03   6.325 3.10e-10 ***
X1stFlrSF           3.423e-04  1.616e-05  21.186  < 2e-16 ***
X2ndFlrSF           2.604e-04  1.455e-05  17.892  < 2e-16 ***
BsmtQual            2.342e-02  5.650e-03   4.146 3.52e-05 ***
CentralAirY         1.347e-01  1.434e-02   9.391  < 2e-16 ***
NeighborhoodTier_2 -3.213e-02  9.440e-03  -3.403 0.000678 ***
NeighborhoodTier_3 -9.632e-02  1.109e-02  -8.683  < 2e-16 ***
BldgType2fmCon     -1.953e-02  2.120e-02  -0.921 0.357088    
BldgTypeDuplex     -1.106e-01  1.833e-02  -6.036 1.88e-09 ***
BldgTypeTwnhs      -1.476e-01  1.671e-02  -8.833  < 2e-16 ***
BldgTypeTwnhsE     -7.282e-02  1.238e-02  -5.884 4.67e-09 ***
GarageArea          1.341e-04  2.218e-05   6.048 1.74e-09 ***
Fireplaces          5.553e-02  5.568e-03   9.972  < 2e-16 ***
KitchenQual         6.559e-02  7.030e-03   9.331  < 2e-16 ***
PavedDrive          7.071e-02  1.233e-02   5.734 1.13e-08 ***
TotalBsmtSF         1.205e-04  1.470e-05   8.195 4.38e-16 ***
HouseAge           -8.354e-04  1.825e-04  -4.579 4.97e-06 ***
BedroomAbvGr       -2.011e-02  5.136e-03  -3.915 9.34e-05 ***
HeatingQC           1.623e-02  3.836e-03   4.230 2.44e-05 ***
PartialSale         5.879e-02  1.849e-02   3.179 0.001501 ** 
MultStory           2.822e-02  1.036e-02   2.724 0.006508 ** 
GarageQual          1.545e-02  5.534e-03   2.791 0.005297 ** 
WoodDeckSF          5.357e-05  2.408e-05   2.225 0.026219 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.132 on 2037 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared:  0.8824,    Adjusted R-squared:  0.881 
F-statistic: 636.8 on 24 and 2037 DF,  p-value: < 2.2e-16
plot(forwardBIC_at)

plot(forwardBIC_atl)

vif(forwardBIC_at)
                 GVIF Df GVIF^(1/(2*Df))
ExterQual    2.752232  1        1.658985
X1stFlrSF    4.319451  1        2.078329
X2ndFlrSF    3.032040  1        1.741275
BsmtQual     2.826871  1        1.681330
GarageArea   2.446959  1        1.564276
KitchenQual  2.260041  1        1.503343
Fireplaces   1.514550  1        1.230671
Neighborhood 2.644512  2        1.275224
BldgType     1.955083  4        1.087416
TotalBsmtSF  4.322181  1        2.078986
BedroomAbvGr 2.111723  1        1.453177
TotalBath    2.370969  1        1.539795
PartialSale  1.087807  1        1.042980
HouseAge     3.387967  1        1.840643
WoodDeckSF   1.158688  1        1.076424
GarageQual   1.717194  1        1.310417
PavedDrive   1.453725  1        1.205705
CentralAir   1.424252  1        1.193420
vif(forwardBIC_atl)
                 GVIF Df GVIF^(1/(2*Df))
TotalBath    2.376517  1        1.541596
ExterQual    2.802534  1        1.674077
X1stFlrSF    4.366037  1        2.089506
X2ndFlrSF    4.500988  1        2.121553
BsmtQual     2.899182  1        1.702698
CentralAir   1.489207  1        1.220331
Neighborhood 2.687301  2        1.280351
BldgType     2.010836  4        1.091245
GarageArea   2.449986  1        1.565243
Fireplaces   1.521621  1        1.233540
KitchenQual  2.335931  1        1.528375
PavedDrive   1.455743  1        1.206542
TotalBsmtSF  4.428138  1        2.104314
HouseAge     3.439262  1        1.854525
BedroomAbvGr 2.114308  1        1.454066
HeatingQC    1.607183  1        1.267747
PartialSale  1.087943  1        1.043045
MultStory    3.175681  1        1.782044
GarageQual   1.729873  1        1.315246
WoodDeckSF   1.162360  1        1.078128
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